Determinant Study Resources

Most Popular Determinant Documents

• 6 Pages

  • MAT 1332 2nd Midterm 1 Answers

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  MAT 1332 2nd Midterm 1 Answers

  School: University Of Ottawa

  Course: MAT 1332

  University of Ottawa MAT 1332B Midterm Exam – Solutions March 25, 2009. Duration: 80 minutes. Instructor: Frithjof Lutscher Question 1. [12 points] Consider the following matrix: A = ⎡ ⎣ −4 0 0 0 2 4 0 4 2 ⎤ ⎦. 1. Calculate the determin...

• 3 Pages

  • notes6

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  notes6

  School: University Of Chicago

  Course: MATH 205

  ... We now take a side-trek to the topic of the determinant, which will be needed shortly. Given a nonsingular linear transform T ∈ L(Rn, Rn), we will define the absolute value of the determinant of T to be the volume of [0, 1]n under T, that is...

• 4 Pages

  • Homework 4 Solution

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  Homework 4 Solution

  School: University Of North Carolina, Charlotte

  Course: MATH 2164

  MATH 2164 Homework #4 Solutions Spring 201 Instr. Sonin $ Due NAME_____ Wednesday, March 20 (25 5 ) points zz 5 Show all work on problems ! Check your answers ! # 5, 6 from HW # 3 (3) 5. Compute the determinant using the row reduction and cofactor...

• 6 Pages

  • MAT1332- Practice Midterm 23- Solutions

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  MAT1332- Practice Midterm 23- Solutions

  School: University Of Ottawa

  Course: MAT 1332

  University of Ottawa MAT 1332B Midterm Exam – Solutions March 25, 2009. Duration: 80 minutes. Instructor: Frithjof Lutscher Question 1. [12 points] Consider the following matrix: A = ⎡ ⎣ −4 0 0 0 2 4 0 4 2 ⎤ ⎦. 1. Calculate the determin...

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• 34 Pages

  • POE_Week6

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  POE_Week6

  School: Birla Institute Of Technology & Science, Pilani - Dubai

  Course: MATHEMATIC ECONF211

• 52 Pages

  • ch3

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  ch3

  School: The Chinese University Of Hong Kong

  Course: MATH 1030

• 6 Pages

  • Section_2_1

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  Section_2_1

  School: Virginia Tech

  Course: MATH 2405H

• 5 Pages

  • Section_2_2

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  Section_2_2

  School: Virginia Tech

  Course: MATH 2405H

Determinant Essays View All Determinant Study Resources Essays

• 163 Pages

  • linalgeb

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  linalgeb

  School: University Of California, Los Angeles

  Course: MATH 115A

  INTRODUCTION TO LINEAR ALGEBRA LINEAR SPACE, MATRICES, DETERMINANTS SYSTEM OF LINEAR EQUATION LINEAR TRANSFORMATIONS ELEMENTS OF 3D GEOMETRY Pavel Ptk Contents ...

• 13 Pages

  • Unit_1.3_1.4_1.5

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  Unit_1.3_1.4_1.5

  School: Cairo High School

  Course: MATH Mathematic

• 2 Pages

  • Contents

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  Contents

  School: Cairo High School

  Course: MATH Mathematic

Determinant Homework Help View All Determinant Study Resources Homework Help

• 8 Pages

  • Problem Set 6 Solution Spring 2013 on Linear Algebra

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  Problem Set 6 Solution Spring 2013 on Linear Algebra

  School: Massachusetts Institute Of Technology

  Course: MATH 18.06

  ... The determinant of A is now detA = (1)(1)(1)(1) det     ... 1+1=0 Of course, the determinant has to be 0 – the first and last rows are the same. For B, there are the same choices of nonzero entries:     ...

• 4 Pages

  • Homework11Solutions

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  Homework11Solutions

  School: University Of Illinois, Urbana Champaign

  Course: MATH 125

  Math 125 Fall 2013 Homework 11 Solutions (1) Using cofactor expansions along rows or columns with many zeros, compute the determinant of: ...

• 4 Pages

  • assign10_soln

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  assign10_soln

  School: University Of Waterloo

  Course: MATH 136

  Math 136 Assignment 10 Due: Wednesday, Mar 26th 1. Calculate the determinant of the following matrices. (a) A =  ... Solution: Using row operations to simplify the determinant we get detB = (7) ∣ ∣ ∣ ∣ ...

• 5 Pages

  • assignment5_solutions

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  assignment5_solutions

  School: University Of Manitoba

  Course: MATH 1300

  MATH 1300 ASSIGNMENT PROBLEMS (UNIT 5) Solutions [10] 1. Use a third row cofactor expansion to evaluate the determinant of 5 1 4 1 4 1 2 5 A = 2 3 4 1 ... [10] 2. Compute the determinant of A = 8 6 6 5 2 4 6 2 ...

Determinant Lab Reports View All Determinant Study Resources Lab Reports

• 4 Pages

  • Lab2Solns

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  Lab2Solns

  School: University Of Alberta

  Course: MATH 101

  ... 6 Lab 2 Solutions MATLAB Commands: det(A); Takes determinant of matrix A. rr(A); Permits you to carry out elementary row operations on A. rref(A): Finds the reduced row echelon form of A in one step. Automatic row reduction: ...

• 10 Pages

  • MatLab Intro 2

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  MatLab Intro 2

  School: University Of Tennessee

  Course: MATH 371

  ... diag, trace. Matrix rank. rank(A). Matrix inverse. inv(A). Matrix condition number. cond(A). Determinant. det (A). LU decomposition. >> A=[7 3 -1 2;3 8 1 -4; -1 1 4 -1; 2 -4 -1 6]. A =. 7 3 -1 2. 3 8 1 -4. -1 1 4 -1. 2 -4 -1 6. >> ...

• 1 Page

  • MTH 141-Lab 12

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  MTH 141-Lab 12

  School: Ryerson University

  Course: MATH 141

  ... 2. Problem A1 (c) Section 5.2 Use row operations and triangular form to compute the determinant of the following matrix. ...

• 8 Pages

  • Lab Three

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  Lab Three

  School: University Of Minnesota

  Course: MATH 2373

  ... We can't find the determinant of D because it is not square! ... First find the determinant of the top, which has the column vector in it. det(A_1). ...

Determinant Notes View All Determinant Study Resources Notes

• 6 Pages

  • MAT 1332 2nd Midterm 1 Answers

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  MAT 1332 2nd Midterm 1 Answers

  School: University Of Ottawa

  Course: MAT 1332

  University of Ottawa MAT 1332B Midterm Exam – Solutions March 25, 2009. Duration: 80 minutes. Instructor: Frithjof Lutscher Question 1. [12 points] Consider the following matrix: A = ⎡ ⎣ −4 0 0 0 2 4 0 4 2 ⎤ ⎦. 1. Calculate the determin...

• 3 Pages

  • notes6

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  notes6

  School: University Of Chicago

  Course: MATH 205

  ... We now take a side-trek to the topic of the determinant, which will be needed shortly. Given a nonsingular linear transform T ∈ L(Rn, Rn), we will define the absolute value of the determinant of T to be the volume of [0, 1]n under T, that is...

• 4 Pages

  • Homework 4 Solution

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  Homework 4 Solution

  School: University Of North Carolina, Charlotte

  Course: MATH 2164

  MATH 2164 Homework #4 Solutions Spring 201 Instr. Sonin $ Due NAME_____ Wednesday, March 20 (25 5 ) points zz 5 Show all work on problems ! Check your answers ! # 5, 6 from HW # 3 (3) 5. Compute the determinant using the row reduction and cofactor...

• 6 Pages

  • MAT1332- Practice Midterm 23- Solutions

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  MAT1332- Practice Midterm 23- Solutions

  School: University Of Ottawa

  Course: MAT 1332

  University of Ottawa MAT 1332B Midterm Exam – Solutions March 25, 2009. Duration: 80 minutes. Instructor: Frithjof Lutscher Question 1. [12 points] Consider the following matrix: A = ⎡ ⎣ −4 0 0 0 2 4 0 4 2 ⎤ ⎦. 1. Calculate the determin...

Determinant Test Prep View All Determinant Study Resources Test Prep

• 6 Pages

  • MAT1332 2012 Midterm

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  MAT1332 2012 Midterm

  School: University Of Ottawa

  Course: MAT 1332

  ... 1. Calculate the determinant and explain why the matrix is invertible. (One short sentence is enough.) 2. Find A−1. ... Solution det(A)=(−4) · 2 · 2 − 4 · 4 · (−4) = −16 + 64 = 48 > 0 Since the determinant is not zero, the mat...

• 3 Pages

  • tut_no3

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  tut_no3

  School: IIT Bombay

  Course: MA 106

  ... 1. Adopt the Gaussian Elimination Method (GEM) to obtain an algorithm to determine the determinant of a square matrix A. ... 2x + y + 2z = −1 −x + y − 2z = −2 4. Calculate the determinant of the following matrices : (a)    ...

• 2 Pages

  • quiz9-solution

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  quiz9-solution

  School: University Of Illinois, Chicago

  Course: MATH 310

  ... a) (3pt) Find the characteristic polynomial χA(λ) of A. b) (2pt) Find all eigenvalues of A. (No need to find eigenvectors) Solution. The characteristic polynomial of A is the determinant of the matrix λI - A: χA(λ) = det(λI - A) = ∣ �...

• 3 Pages

  • Linear Unit 2 Review Problems

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  Linear Unit 2 Review Problems

  School: Edinboro University Of Pennsylvania

  Course: MATH 275

  Unit 2 Review. Find the determinant of this matrix: . If , find M 12 , and C 23 . Solve for x: Given and A is a 4x4 matrix, then find the following. Evaluate. b). Find (a) the matrix of cofactors and then (b) the adjoint for the matrix . ...

Most Recent Determinant Documents Uploaded

• 34 Pages

  • POE_Week6

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  POE_Week6

  School: Birla Institute Of Technology & Science, Pilani - Dubai

  Course: MATHEMATIC ECONF211

• 52 Pages

  • ch3

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  ch3

  School: The Chinese University Of Hong Kong

  Course: MATH 1030

• 6 Pages

  • Section_2_1

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  Section_2_1

  School: Virginia Tech

  Course: MATH 2405H

• 5 Pages

  • Section_2_2

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  Section_2_2

  School: Virginia Tech

  Course: MATH 2405H

• 19 Pages

  • LADE8 Inverses and determinants

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  LADE8 Inverses and determinants

  School: University Of Wisconsin

  Course: MATH 320

• 5 Pages

  • 550_lab3

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  550_lab3

  School: Rutgers University

  Course: MATH 550

• 10 Pages

  • 4.1

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  4.1

  School: Simon Fraser University

  Course: MATH 232

• 6 Pages

  • midterm1_v1_sol(2)

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  midterm1_v1_sol(2)

  School: University Of Ontario Institute Of Technology

  Course: MATH 1850

• 1 Page

  • Tutorial 2

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  Tutorial 2

  School: HKU

  Course: MATH 1853

• 5 Pages

  • 00672Sample

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  00672Sample

  School: Alliant International University

  Course: MAT 101

• 27 Pages

  • Lecture Slides 3

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  Lecture Slides 3

  School: University Of California, San Diego

  Course: MATH 20F

• 3 Pages

  • t20_sol

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  t20_sol

  School: National University Of Singapore

  Course: MATH 1013

• 3 Pages

  • MatricesAndDeterminants

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  MatricesAndDeterminants

  School: National University Of Singapore

  Course: MATH 1013

• 5 Pages

  • Linear Set 3

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  Linear Set 3

  School: Columbia University

  Course: MATH V2010

• 2 Pages

  • Linear Set 9

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  Linear Set 9

  School: Columbia University

  Course: MATH V2010

• 6 Pages

  • Linear Set 3

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  Linear Set 3

  School: Columbia University

  Course: MATH V2010

Determinant Essays

• 163 Pages

  • linalgeb

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  linalgeb

  School: University Of California, Los Angeles

  Course: MATH 115A

  INTRODUCTION TO LINEAR ALGEBRA LINEAR SPACE, MATRICES, DETERMINANTS SYSTEM OF LINEAR EQUATION LINEAR TRANSFORMATIONS ELEMENTS OF 3D GEOMETRY Pavel Ptk Contents ...

• 13 Pages

  • Unit_1.3_1.4_1.5

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  Unit_1.3_1.4_1.5

  School: Cairo High School

  Course: MATH Mathematic

• 2 Pages

  • Contents

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  Contents

  School: Cairo High School

  Course: MATH Mathematic

Determinant Homework Help

• 8 Pages

  • Problem Set 6 Solution Spring 2013 on Linear Algebra

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  Problem Set 6 Solution Spring 2013 on Linear Algebra

  School: Massachusetts Institute Of Technology

  Course: MATH 18.06

  ... The determinant of A is now detA = (1)(1)(1)(1) det     ... 1+1=0 Of course, the determinant has to be 0 – the first and last rows are the same. For B, there are the same choices of nonzero entries:     ...

• 4 Pages

  • Homework11Solutions

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  Homework11Solutions

  School: University Of Illinois, Urbana Champaign

  Course: MATH 125

  Math 125 Fall 2013 Homework 11 Solutions (1) Using cofactor expansions along rows or columns with many zeros, compute the determinant of: ...

• 4 Pages

  • assign10_soln

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  assign10_soln

  School: University Of Waterloo

  Course: MATH 136

  Math 136 Assignment 10 Due: Wednesday, Mar 26th 1. Calculate the determinant of the following matrices. (a) A =  ... Solution: Using row operations to simplify the determinant we get detB = (7) ∣ ∣ ∣ ∣ ...

• 5 Pages

  • assignment5_solutions

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  assignment5_solutions

  School: University Of Manitoba

  Course: MATH 1300

  MATH 1300 ASSIGNMENT PROBLEMS (UNIT 5) Solutions [10] 1. Use a third row cofactor expansion to evaluate the determinant of 5 1 4 1 4 1 2 5 A = 2 3 4 1 ... [10] 2. Compute the determinant of A = 8 6 6 5 2 4 6 2 ...

• 10 Pages

  • MATLAB 4

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  MATLAB 4

  School: University Of California, San Diego

  Course: MATH 20F

  ... 48. Exercise 4.1b: The matrix A+B is not invertible because its determinant is 0. Exercise 4.1c: We will be able to recover det(AB) because it equals det(A)*det(B), det(A^-1) because it equals 1/det(A), and det(B') because it equals det(B)...

• 2 Pages

  • WeBWork Linear Algebra- Section 2.1 Determinants

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  WeBWork Linear Algebra- Section 2.1 Determinants

  School: Arizona State University

  Course: MAT 343

  Section 2.1 Determinant. Given the matrix A=[-1,-3;3,0] find its determinant. The determinant of A is 9. Given the matrix [0,0,0;0,-5,-4;-5,0,-5]. (a) find its determinant. Your answer is: 0. (b) does the matrix have an inverse? Your answer is: NO...

• 2 Pages

  • WeBWork Linear Algebra - Section 2.2 Properties of Determinants

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  WeBWork Linear Algebra - Section 2.2 Properties of Determinants

  School: Arizona State University

  Course: MAT 343

  ... det(AB)=21. det(-3A)=-27. det(AT)=-3. det(B^-1)=-0.1428. det(B^4)=2401. If the determinant of a 4 x 4 matrix A is the det(A)=4, and the matrix B is obtained from A by multiplying the first row by 2, then. det(B)=8. ...

• 5 Pages

  • HW09-solutions

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  HW09-solutions

  School: University Of Texas

  Course: M 340L

  ... 001 10.0 points The determinant of a triangular matrix is always the sum of the entries on the main diagonal. True or False? ... 2. TRUE Explanation: The determinant of a triangular matrix is the product of the entries on the main diago- nal. ...

• 5 Pages

  • 2050-assignment9

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  2050-assignment9

  School: Memorial University Of Newfoundland

  Course: MATH 2050

  ... Fall 2015 Do not need to hand in Note that the final exam also covers material after HW8, including, for instance, calculating determinant by row operations, eigenvalues and eigenvectors, similarity and diagonalization etc. ...

• 3 Pages

  • tut_no3

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  tut_no3

  School: IIT Bombay

  Course: MA 106

  ... 1. Adopt the Gaussian Elimination Method (GEM) to obtain an algorithm to determine the determinant of a square matrix A. ... 2x + y + 2z = −1 −x + y − 2z = −2 4. Calculate the determinant of the following matrices : (a)    ...

• 6 Pages

  • mmlec05b-x4

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  mmlec05b-x4

  School: LSE

  Course: MATHS MATHS 100

  Objectives determinant, |A| definition as a cofactor expansion Where does is come from? ... Lecture 5 – Determinants I A n × n associate ⇐⇒ a unique real number det(A), |A|, the determinant of A – 5– To find A−1 ( ab 1 0 cd 0 1 ) ...

• 2 Pages

  • warmup16-sp13

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  warmup16-sp13

  School: Georgia Institute Of Technology

  Course: MATH 1502

  Warmup Problems #16 Math 1502, Grodzinsky March 27, 2013 1. Find the determinant of the following matrix:    4 −1 1 6 0 0 −3 3 4 1 0 14 4 1 3 2    2. For which values of k is the matrix   1 2 4 3 1 6 k 3 2  ...

• 11 Pages

  • HW3-solutions-2

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  HW3-solutions-2

  School: University Of Texas

  Course: M 427L

  ... 001 10.0 points Find the value of the determinant D = ∣ ∣ ∣ ∣ 2 3 x −3 2 y 1 0 z ... 4. D = 2x + 3y + 13z 5. D = 2x − 3y − 13z 6. D = −2x − 3y − 13z Explanation: For any 3 × 3 determinant ∣ ∣ ∣ ∣ ∣ ABC a1 b1 c1 a...

• 1 Page

  • PS9

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  PS9

  School: University Of Chicago

  Course: MATH 159

  ... (10) Prove that the determinant function defined in the theorem from class satisfies Axiom 1) for determinants. • (10) Prove det(A) = det(tA). ...

• 11 Pages

  • 1540_hw2_sol

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  1540_hw2_sol

  School: The Chinese University Of Hong Kong

  Course: MATH 1540

  ... λ = 4 or − 2 3. Determine if each of the following matrices is singular (ie non-invertible), either by row reduction or by computing its determinant. ...

• 5 Pages

  • 1540_hw2

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  1540_hw2

  School: The Chinese University Of Hong Kong

  Course: MATH 1540

  ... 1 3. Determine if each of the following matrices is singular (ie non-invertible), via either row reduction or the computation of its determinant. ...

Determinant Lab Reports

• 4 Pages

  • Lab2Solns

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  Lab2Solns

  School: University Of Alberta

  Course: MATH 101

  ... 6 Lab 2 Solutions MATLAB Commands: det(A); Takes determinant of matrix A. rr(A); Permits you to carry out elementary row operations on A. rref(A): Finds the reduced row echelon form of A in one step. Automatic row reduction: ...

• 10 Pages

  • MatLab Intro 2

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  MatLab Intro 2

  School: University Of Tennessee

  Course: MATH 371

  ... diag, trace. Matrix rank. rank(A). Matrix inverse. inv(A). Matrix condition number. cond(A). Determinant. det (A). LU decomposition. >> A=[7 3 -1 2;3 8 1 -4; -1 1 4 -1; 2 -4 -1 6]. A =. 7 3 -1 2. 3 8 1 -4. -1 1 4 -1. 2 -4 -1 6. >> ...

• 1 Page

  • MTH 141-Lab 12

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  MTH 141-Lab 12

  School: Ryerson University

  Course: MATH 141

  ... 2. Problem A1 (c) Section 5.2 Use row operations and triangular form to compute the determinant of the following matrix. ...

• 8 Pages

  • Lab Three

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  Lab Three

  School: University Of Minnesota

  Course: MATH 2373

  ... We can't find the determinant of D because it is not square! ... First find the determinant of the top, which has the column vector in it. det(A_1). ...

• 16 Pages

  • LAB_8_Determinanta

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  LAB_8_Determinanta

  School: University Of California, Davis

  Course: MAT 22AL

  ... Properties of determinant function • The effects of row operations on the value of the determinant of a matrix. ... Determinant of special matrices. ...

• 3 Pages

  • Lab10v1_082312

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  Lab10v1_082312

  School: ITT Tech Pittsburgh

  Course: MATH Ma1220

  ... Computationally intensive compared to other methods: the most efficient ways of calculating the determinant of an n × n matrix require (n − 1)(n ...

• 3 Pages

  • Lab 5 solns

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  Lab 5 solns

  School: University Of Waterloo

  Course: MATH 115

  ... Show that the determinant of a permutation matrix is either 1 or −1. Answer: There are many ways to show this. Here are three possible proofs: • The rows of a permutation matrix are a permutation of the rows of the identity matrix. ...

• 3 Pages

  • Lab4Solns

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  Lab4Solns

  School: University Of Alberta

  Course: MATH 101

  ... det(A); Takes determinant of matrix A. ... b) Use this upper triangular form and your knowledge of the elementary row operations used to obtain it to compute the determinant of M. Check using MATLAB's det() command. ...

• 6 Pages

  • Cramer's Rule

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  Cramer's Rule

  School: University Of Minnesota

  Course: MATH 2373

  ... B=[5 7 8; -3 0 4; -11 10 6] D=[8 -4; 11 15; 6 27] To find the determinants using MatLab, we used the following commands and received the resulting output: det(B) ans = -622 However, we are unable to find the determinant of D because it ...

• 7 Pages

  • SolvedQuestionsListII

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  SolvedQuestionsListII

  School: College Of E&ME, NUST

  Course: MATH 106

  Math 106, solved questions. Second list1. Let x, y be two real numbers. Compute the determinanty x yxy x yxx yyxSolution:xxy x0000y x yxy x yy x yxx yxy=y xx.yx yxyy= 0.y xxyR3 +R1 R11 0 12. Compute the determinant. ...

• 2 Pages

  • 17

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  17

  School: ITT Technical Institute Tucson Campus

  Course: MA 1210

  ... Find the determinant of the given matrix. ... Gaussian Elimination is better because with increased number of variables the dimension of the coefficient matrix increases and it gets harder to get an inverse or determinant. ...

• 7 Pages

  • MATH20F MATLAB#4

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  MATH20F MATLAB#4

  School: University Of California, San Diego

  Course: MATH 20F

• 5 Pages

  • 550_lab3

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  550_lab3

  School: Rutgers University

  Course: MATH 550

• 1 Page

  • lab3question3.m

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  lab3question3.m

  School: Memorial University Of Newfoundland

  Course: MATH 3132

• 17 Pages

  • The determinnants of the demand for life insurance in an emerging economy

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  The determinnants of the demand for life insurance in an emerging economy

  School: Tunku Abdul Rahman University College, Kuala Lumpur

  Course: PFP 101

Determinant Notes

• 6 Pages

  • MAT 1332 2nd Midterm 1 Answers

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  MAT 1332 2nd Midterm 1 Answers

  School: University Of Ottawa

  Course: MAT 1332

  University of Ottawa MAT 1332B Midterm Exam – Solutions March 25, 2009. Duration: 80 minutes. Instructor: Frithjof Lutscher Question 1. [12 points] Consider the following matrix: A = ⎡ ⎣ −4 0 0 0 2 4 0 4 2 ⎤ ⎦. 1. Calculate the determin...

• 3 Pages

  • notes6

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  notes6

  School: University Of Chicago

  Course: MATH 205

  ... We now take a side-trek to the topic of the determinant, which will be needed shortly. Given a nonsingular linear transform T ∈ L(Rn, Rn), we will define the absolute value of the determinant of T to be the volume of [0, 1]n under T, that is...

• 4 Pages

  • Homework 4 Solution

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  Homework 4 Solution

  School: University Of North Carolina, Charlotte

  Course: MATH 2164

  MATH 2164 Homework #4 Solutions Spring 201 Instr. Sonin $ Due NAME_____ Wednesday, March 20 (25 5 ) points zz 5 Show all work on problems ! Check your answers ! # 5, 6 from HW # 3 (3) 5. Compute the determinant using the row reduction and cofactor...

• 6 Pages

  • MAT1332- Practice Midterm 23- Solutions

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  MAT1332- Practice Midterm 23- Solutions

  School: University Of Ottawa

  Course: MAT 1332

  University of Ottawa MAT 1332B Midterm Exam – Solutions March 25, 2009. Duration: 80 minutes. Instructor: Frithjof Lutscher Question 1. [12 points] Consider the following matrix: A = ⎡ ⎣ −4 0 0 0 2 4 0 4 2 ⎤ ⎦. 1. Calculate the determin...

• 2 Pages

  • Linear Algebra Test 3 Review Fa15

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  Linear Algebra Test 3 Review Fa15

  School: Soddy Daisy High School

  Course: MATH 1010

  ... 7. Find the area of the parallelogram with vertices at (1, 0), (3, 5), (4, -7), and (6, -2). 8. Evaluate each determinant, where det A = ihg fed cba ...

• 15 Pages

  • Lecture Notes 8

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  Lecture Notes 8

  School: Arkansas Tech University

  Course: MATH 4003

  ... |A| . Example 15.2 Let A = ⎡⎣ 3 2 −1 1 6 3 2 −4 0 ⎤ ⎦ Use Theorem 15.3 to find A−1. Solution. First we find the determinant of A given by |A| = 64. By Theorem 15.3 A−1 = 1 |A|adj(A) = ⎡⎣ 3 16 1 16 3 16 3 32 1 32 − 5 32 �...

• 3 Pages

  • homework_11_solutions

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  homework_11_solutions

  School: Purdue University

  Course: MA 510

  MA 51000 HOMEWORK ASSIGNMENT #11 SOLUTIONS Problem 1. Sec. 6.1, pg. 375; prob. 8 In Exercises 8 and 9, let T(x) = A x, where A is a 2 × 2 matrix. Show that T is one-to-one if and only if the determinant of A is not zero. Solution: First assume th...

• 1 Page

  • HW 1a 0822

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  HW 1a 0822

  School: Indiana University, Purdue University Indianapolis

  Course: MATH 537

  MATH 537 Section 15791 HW set 1 a 8/22/2011. Without expanding, prove that the following determinant vanishes: Prove that: R.Tam.

• 5 Pages

  • Lesson 22b - Properties of Determinants

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  Lesson 22b - Properties of Determinants

  School: Carleton College

  Course: MATH 1104

  ... This means we get: Det(A)=Det(E5) Det(E4) Det(E3) Det(E2) Det(E1) This means that the determinant of a matrix could be found by multiplying the determinants of the elementary matrices that produced A. 11/11/2013 2 Determinant Properties Dete...

• 4 Pages

  • exam2

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  exam2

  School: University Of California, San Diego

  Course: MATH 20F

  MATH. 20F SAMPLE MIDTERM 2 You have 50 minutes for this exam. Please write legibly and show all working. No calculators are allowed. Write your name and ID number. Name: ID Number: (1i) (5 points) Find the determinant of A = ⎛ ⎢ ⎢ ⎝ 1 0 0 ...

• 8 Pages

  • Hw1

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  Hw1

  School: Texas A&M University

  Course: MATH 470

  p. 55 # 9, 17, 20, 21 p. 60 # 6, 10, 11 p. 104 # 1, 3, 4, 6 p. 55 #9. p. 55 # 17. Remark: The determinant of the encryption matrix is congruent to 24 mod 26. Since gcd( 24 , 26 ) = 2, we note that quotient of the adjoint matrix by 24 is not define...

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  • MATH-235-1069-Final_exam

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  MATH-235-1069-Final_exam

  School: University Of Waterloo

  Course: MATH 235

  MATH 235 Final Exam Fall 2006 1. (a) [4] Evaluate the determinant of the following matrix: A = ⎡ ⎢ ⎢ ⎢ 4 −1 1 6 0 0 −3 3 4 1 0 7 4 1 3 2 ⎤ ⎢ ⎢ ⎢ ⎦ b) [4] Use Cramer's rule to solve for z ∈ C in the system Ax = b where A...

• 10 Pages

  • MATLAB4

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  MATLAB4

  School: University Of California, San Diego

  Course: MATH 20F

  ... 0.0200 0.0030 0. 1.0000 0.0100 0. 0 0 0.0050. >> det(N^100). ans =. 0. >> det(N). ans =. -1.4000e-005. Question: Do you think that is invertible? Yes, because the numbers will become too small for MATLAB to estimate as numbers, so ...

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  • Exam1_review

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  Exam1_review

  School: University Of Kansas

  Course: MATH 290/291

  Review Sheet for Exam 1 - Math 291 Definitions: Elementary row operation, elementary matrix, echelon form, reduced echelon form, augmented matrix, free variable, leading variable,inverse of A, transpose of A, determinant of a square matrix, singul...

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  • 4.2

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  4.2

  School: Carleton University

  Course: MATH 1104

  ... scalar c. Then det A' = c det A. Exercise 1 Compute det A and det B, given that , Theorem2 If a square matrix A has a row that is a scalar multiple of another row (or a column that is a scalar multiple of another column), then det A =0. ...

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  • Lab 3

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  Lab 3

  School: Rutgers University

  Course: MATH 250C

  ... Comparison of the computation time to solve Ax = b by Gaussian elimination vs. solution by LU decomposition of A. • The determinant of a square matrix, how it changes under row operations and matrix multiplication, and how it can be calculate...

Determinant Test Prep

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  • MAT1332 2012 Midterm

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  MAT1332 2012 Midterm

  School: University Of Ottawa

  Course: MAT 1332

  ... 1. Calculate the determinant and explain why the matrix is invertible. (One short sentence is enough.) 2. Find A−1. ... Solution det(A)=(−4) · 2 · 2 − 4 · 4 · (−4) = −16 + 64 = 48 > 0 Since the determinant is not zero, the mat...

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  • tut_no3

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  tut_no3

  School: IIT Bombay

  Course: MA 106

  ... 1. Adopt the Gaussian Elimination Method (GEM) to obtain an algorithm to determine the determinant of a square matrix A. ... 2x + y + 2z = −1 −x + y − 2z = −2 4. Calculate the determinant of the following matrices : (a)    ...

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  • quiz9-solution

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  quiz9-solution

  School: University Of Illinois, Chicago

  Course: MATH 310

  ... a) (3pt) Find the characteristic polynomial χA(λ) of A. b) (2pt) Find all eigenvalues of A. (No need to find eigenvectors) Solution. The characteristic polynomial of A is the determinant of the matrix λI - A: χA(λ) = det(λI - A) = ∣ �...

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  • Linear Unit 2 Review Problems

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  Linear Unit 2 Review Problems

  School: Edinboro University Of Pennsylvania

  Course: MATH 275

  Unit 2 Review. Find the determinant of this matrix: . If , find M 12 , and C 23 . Solve for x: Given and A is a 4x4 matrix, then find the following. Evaluate. b). Find (a) the matrix of cofactors and then (b) the adjoint for the matrix . ...

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  • review2

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  review2

  School: Purdue University

  Course: MA 26200

  ... Chapter 3: Determinants • Compute determinant using the cofactor expansion. • Effect of elementary row operations on the determinant. • Compute determinant by reducing to the row echelon form. ... Algebraic properties of determinant. ...

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  • Test 2 Practice

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  Test 2 Practice

  School: University Of Connecticut

  Course: MATH 2210

  Math 2210 Fall 2014 Name: Test 2 - Practice Questions 1. Compute the determinant and calculate the inverses of the following matrices: (a) [3 2 8 5 ] (b) [ 7 3 −6 −3 ] (c) [2 −4 4 −6 ] (d)   1 0 −2 −3 1 4 2 −3 4   (e) ...

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  • MAT219-W4

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  MAT219-W4

  School: Middle East Technical University

  Course: MATH 219

  ... and B =    1 2 −1 2 1 1 1 −1 2    a. Compute Rank(A) and Rank(B) b. Compute the determinant of both matrices. c. Compute A−1 and B−1 if they exist. d. Find the solutions to the systems AX =   0 0 0   and B...

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  • Math351-LinearAlgbera-Fall2015-Mid-term3-Review

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  Math351-LinearAlgbera-Fall2015-Mid-term3-Review

  School: Purdue University

  Course: MA 35100

  ... Topics. • Know how to compute the determinant, trace, and characteristic polynomial of an explicit matrix A in M(n,R). • Know ...

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  • Tut-4

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  Tut-4

  School: Indian Institute Of Technology, Guwahati

  Course: MATH 101

  ... where tr(A) is the sum of the entries on the main diagonal of A. Express the trace and determinant of A in terms of eigenvalues of A. Can you ...

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  • MATH 54 - Fall 2011 - Holtz - Unknown solution

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  MATH 54 - Fall 2011 - Holtz - Unknown solution

  School: University Of California, Berkeley

  Course: MATH 54

  ... obviously inconsistent. 2. The determinant of any 3 × 3 matrix ⎡ ⎣ abc def ghi ⎤ ⎦ is aei+bfg+cdh−ceg−bdi−afh. We compute ...

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  • [math1554]practice-exam2

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  [math1554]practice-exam2

  School: Georgia Institute Of Technology

  Course: MATH 1551

  ... 1 x 1  ,   1 1 x  . 7. True or false? Explain. (a) Nul(A) = Col(AT ). (b) The determinant of an invertible matrix equals zero. (c) detA = detAT . ...

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  • quiz1v2sol

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  quiz1v2sol

  School: University Of Washington

  Course: MATH 309

  ... inverse? Calculate the determinant of P(t), we have detP(t) = (2t − t2)et. It's invertible if and only if the determinant is nonzero. So ...

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  • quiz1v1sol

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  quiz1v1sol

  School: University Of Washington

  Course: MATH 309

  ... inverse? Calculate the determinant of P(t), we have detP(t)=(−t − t2)et. It's invertible if and only if the determinant is nonzero. So ...

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  • quiz 6

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  quiz 6

  School: Binghamton University

  Course: MATH 330

  ... You need to show all your work to get credit.** (a)(2 points) Compute the determinant of the following matrices      3 −3 −3 −3 −4 −3 ...

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  • prm2

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  prm2

  School: Columbia University

  Course: MATH 4041

  ... 3. Prove that the subset H of matrices in G = GL(n,Q) whose determinant is positive is a normal subgroup, and describe the quotient group G/H. ...

• 7 Pages

  • Differential Equation Vocabulary Study Guide

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  Differential Equation Vocabulary Study Guide

  School: University Of Illinois, Urbana Champaign

  Course: MATH 285

  ... and its derivatives are in the differential equation. Determinant (of a matrix) ... elements of the reduced matrix is the determinant of the matrix. ...