Most Popular Determinant Documents

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...

problems12
School: Queens University
Course: MATH 110
... 1. (a) Find the determinant of the matrix » ... fi ffi fl . (b) Use the results in part (a) to guess the determinant of the pnnqmatrix below. ...

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: ...

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 Aadj(A) = ⎡⎣ 3 16 1 16 3 16 3 32 1 32 − 5 32 ...
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POE_Week6
School: Birla Institute Of Technology & Science, Pilani  Dubai
Course: MATHEMATIC ECONF211
Determinant Essays View All Determinant Study Resources Essays

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 ...
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problems12
School: Queens University
Course: MATH 110
... 1. (a) Find the determinant of the matrix » ... fi ffi fl . (b) Use the results in part (a) to guess the determinant of the pnnqmatrix below. ...

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: ...

Problem Set 6 Solution Spring 2013 on Linear Algebra
School: Massachusetts Institute Of Technology
Course: MATH 18
... 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: ...

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) ∣ ∣ ∣ ∣ ...
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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...

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 Aadj(A) = ⎡⎣ 3 16 1 16 3 16 3 32 1 32 − 5 32 ...

notes6
School: University Of Chicago
Course: MATH 205
... We now take a sidetrek 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...

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...
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Exam 3 Solution Spring 2013 on Linear Algebra
School: Massachusetts Institute Of Technology
Course: EXAM 3
... a) What are the trace of A and the determinant of A? The trace of A is λ1 + λ2 + λ3 and the determinant is λ1λ2λ3. ... 3 × 3: Use the method of your choice to compute the determinant of A, in terms of N. By the (not so) big formula, it&...

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...

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) ...

quiz9solution
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) = ∣ ...