Eigenvectors Study Resources

Most Popular Eigenvectors Documents

• 1 Page

  • Quiz 9 Solution

  • Register Now

  Quiz 9 Solution

  School: Ohio State University

  Course: MATH 2568

  Math 2568 Quiz IX Solution Name:_____ Lecturer: Gangyong Lee Time:_____ April 08, 2013 ID#_____ 1. Find the eigenvalues and the eigenvectors for a matrix A = [1 -2 2 -3 ] . (12 pts.) Sol) det(A-λI) = ∣ ∣ ∣ 1 - λ -2 2 -3 - λ ∣ ∣ ∣ âˆ...

• 2 Pages

  • Quiz+19+solution

  • Register Now

  Quiz+19+solution

  School: Indiana University, Purdue University Indianapolis

  Course: MATH 17100

  MATH 17100 28446 Quiz 19 solution 11/30/ 2009 1. For the matrix 3 1 4 0 2 6 0 0 5 ⌈ ⌉ │ │ = A , find (i) The eigenvalues (ii) The corresponding eigenvectors Characteristic equation, 3 1 4 det( ) det 0 2 6 (3 )(2 )(5 ) 0 0 0 5 λ λ λ λ Î...

• 1 Page

  • problems4.1

  • Register Now

  problems4.1

  School: University Of British Columbia

  Course: MATH 307

  ... 1. For the following matrices find (a) all eigenvalues (b) linearly independent eigenvectors for each eigenvalue (c) the algebraic and geometric multiplicity for each eigenvalue and state whether the matrix is diagonalizable. ...

• 8 Pages

  • solutions4.1-2

  • Register Now

  solutions4.1-2

  School: University Of British Columbia

  Course: MATH 307

  ... 1. For the following matrices find (a) all eigenvalues (b) linearly independent eigenvectors for each eigenvalue (c) the algebraic and geometric multiplicity for each eigenvalue ... two linearly independent (by inspection) eigenvectors are ...

Most Recent Eigenvectors Documents Uploaded All Recent Eigenvectors Study Resources Documents

• 23 Pages

  • LADE15 More eigen

  • Register Now

  LADE15 More eigen

  School: University Of Wisconsin

  Course: MATH 320

• 52 Pages

  • ch3

  • Register Now

  ch3

  School: The Chinese University Of Hong Kong

  Course: MATH 1030

• 2 Pages

  • MAT 1341 - 2014W - Midterm 2

  • Register Now

  MAT 1341 - 2014W - Midterm 2

  School: University Of Ottawa

  Course: MAT 1341

• 16 Pages

  • LADE14 Eigen

  • Register Now

  LADE14 Eigen

  School: University Of Wisconsin

  Course: MATH 320

Eigenvectors Homework Help View All Eigenvectors Study Resources Homework Help

• 1 Page

  • problems4.1

  • Register Now

  problems4.1

  School: University Of British Columbia

  Course: MATH 307

  ... 1. For the following matrices find (a) all eigenvalues (b) linearly independent eigenvectors for each eigenvalue (c) the algebraic and geometric multiplicity for each eigenvalue and state whether the matrix is diagonalizable. ...

• 8 Pages

  • solutions4.1-2

  • Register Now

  solutions4.1-2

  School: University Of British Columbia

  Course: MATH 307

  ... 1. For the following matrices find (a) all eigenvalues (b) linearly independent eigenvectors for each eigenvalue (c) the algebraic and geometric multiplicity for each eigenvalue ... two linearly independent (by inspection) eigenvectors are ...

• 3 Pages

  • solutions4.2

  • Register Now

  solutions4.2

  School: University Of British Columbia

  Course: MATH 307

  ... has positive eigenvalues. Use the power method to find the largest and the smallest ones, and the corresponding eigenvectors. Check whether the two eigenvectors you have computed are orthogonal. ...

• 2 Pages

  • hw (20)

  • Register Now

  hw (20)

  School: University Of Washington

  Course: MATH 308

  Math 308 Solutions Sec. 3.1 Problems(1,3,7,15,17,19) page 1 3.1.1 Find the eigenvalues and eigenvectors for A =    1 ... a) So λ = 1 and λ = 3 are eigenvalues. b) Eigenvectors associated with λ = 1 are in N(A − I): A − I =   ...

Eigenvectors Notes View All Eigenvectors Study Resources Notes

• 1 Page

  • Quiz 9 Solution

  • Register Now

  Quiz 9 Solution

  School: Ohio State University

  Course: MATH 2568

  Math 2568 Quiz IX Solution Name:_____ Lecturer: Gangyong Lee Time:_____ April 08, 2013 ID#_____ 1. Find the eigenvalues and the eigenvectors for a matrix A = [1 -2 2 -3 ] . (12 pts.) Sol) det(A-λI) = ∣ ∣ ∣ 1 - λ -2 2 -3 - λ ∣ ∣ ∣ âˆ...

• 2 Pages

  • Quiz+19+solution

  • Register Now

  Quiz+19+solution

  School: Indiana University, Purdue University Indianapolis

  Course: MATH 17100

  MATH 17100 28446 Quiz 19 solution 11/30/ 2009 1. For the matrix 3 1 4 0 2 6 0 0 5 ⌈ ⌉ │ │ = A , find (i) The eigenvalues (ii) The corresponding eigenvectors Characteristic equation, 3 1 4 det( ) det 0 2 6 (3 )(2 )(5 ) 0 0 0 5 λ λ λ λ Î...

• 5 Pages

  • MenuWeekTenNotes

  • Register Now

  MenuWeekTenNotes

  School: Northwestern University

  Course: MATH 290

  ... Today we spoke about complex eigenvalues and eigenvectors. The point is that this all works the same way as real eigenvalues and eigenvectors do, only that now we work with complex numbers. Warm-Up. ...

• 4 Pages

  • m345t2S11Sol

  • Register Now

  m345t2S11Sol

  School: Embry-Riddle Aeronautical University

  Course: MA 243

  MA 345 Differential Equations Spring 2011 Exam II Solutions Dr. E. Jacobs 1. (15 points) Let A be the following matrix: A = ( 3 1 1 3 ) a) Find all eigenvalues of A 0 = det(A - λI) = ∣∣∣ 3 - λ 1 1 3 - λ ∣∣∣∣ = 3 - λ)2 - 1 so λ1 ...

Eigenvectors Test Prep View All Eigenvectors Study Resources Test Prep

• 2 Pages

  • selftest3a

  • Register Now

  selftest3a

  School: Athabasca University, Athabasca

  Course: MATH 270

  ... (4 pts) 4x - by = 2 b2x - by = 3 2. Find the characteristic equation, eigenvalues, and corresponding eigenvectors for the matrix below. (4 pts) ...

• 11 Pages

  • PracticeFinal

  • Register Now

  PracticeFinal

  School: University Of California, Davis

  Course: MAT 22A

  MAT22A, Linear Algebra Final Exam March 20, 2013 1 Find eigenvalues and eigenvectors for the following matrix A =   2 1 1 0 1 2 0 0 3   (1) 1 2 2 Find the solution, u(t), to the differential equation ...

• 8 Pages

  • Practice Final

  • Register Now

  Practice Final

  School: University Of California, Davis

  Course: MAT 22A

  MAT22A, Linear Algebra Final Exam June 6, 2014 1 Find eigenvalues and eigenvectors for the following matrix A =   2 1 1 0 1 2 0 0 3  ...

• 12 Pages

  • Sample Final

  • Register Now

  Sample Final

  School: University Of California, Irvine

  Course: MATH 4

  ... Find the eigenvalues and corresponding eigenvectors for A. Find the orthogonal ... 11 Find the eigenvalues and eigenvectors of A. A =  ...

Most Recent Eigenvectors Documents Uploaded

• 23 Pages

  • LADE15 More eigen

  • Register Now

  LADE15 More eigen

  School: University Of Wisconsin

  Course: MATH 320

• 52 Pages

  • ch3

  • Register Now

  ch3

  School: The Chinese University Of Hong Kong

  Course: MATH 1030

• 2 Pages

  • MAT 1341 - 2014W - Midterm 2

  • Register Now

  MAT 1341 - 2014W - Midterm 2

  School: University Of Ottawa

  Course: MAT 1341

• 16 Pages

  • LADE14 Eigen

  • Register Now

  LADE14 Eigen

  School: University Of Wisconsin

  Course: MATH 320

• 5 Pages

  • 550_lab3

  • Register Now

  550_lab3

  School: Rutgers University

  Course: MATH 550A

• 7 Pages

  • final extra-Solution

  • Register Now

  final extra-Solution

  School: University Of California, San Diego

  Course: MATH 20F

• 1 Page

  • Tutorial 3

  • Register Now

  Tutorial 3

  School: HKU

  Course: MATH 1853

• 1 Page

  • hw02

  • Register Now

  hw02

  School: HKUST

  Course: MATH 113

• 2 Pages

  • Mock_Test_2_MATH_1025_Answers2

  • Register Now

  Mock_Test_2_MATH_1025_Answers2

  School: York University

  Course: MATH 1025

• 5 Pages

  • practice27

  • Register Now

  practice27

  School: University Of London The London School Of Economics And Political Science

  Course: MATH MA100

• 29 Pages

  • Markov_Chains_Google

  • Register Now

  Markov_Chains_Google

  School: Georgia Institute Of Technology

  Course: MATH 1554

• 1 Page

  • worksheet25_review

  • Register Now

  worksheet25_review

  School: Georgia Institute Of Technology

  Course: MATH 1554

• 2 Pages

  • Quiz07

  • Register Now

  Quiz07

  School: Santa Barbara City College

  Course: MATH 210

• 1 Page

  • M427J.homework.8

  • Register Now

  M427J.homework.8

  School: University Of Texas

  Course: M 427J

• 4 Pages

  • Practice89

  • Register Now

  Practice89

  School: University Of Illinois, Urbana Champaign

  Course: MATH 286

• 3 Pages

  • FinalPractice(1)

  • Register Now

  FinalPractice(1)

  School: University Of California, Davis

  Course: MAT 22A

Eigenvectors Homework Help

• 1 Page

  • problems4.1

  • Register Now

  problems4.1

  School: University Of British Columbia

  Course: MATH 307

  ... 1. For the following matrices find (a) all eigenvalues (b) linearly independent eigenvectors for each eigenvalue (c) the algebraic and geometric multiplicity for each eigenvalue and state whether the matrix is diagonalizable. ...

• 8 Pages

  • solutions4.1-2

  • Register Now

  solutions4.1-2

  School: University Of British Columbia

  Course: MATH 307

  ... 1. For the following matrices find (a) all eigenvalues (b) linearly independent eigenvectors for each eigenvalue (c) the algebraic and geometric multiplicity for each eigenvalue ... two linearly independent (by inspection) eigenvectors are ...

• 3 Pages

  • solutions4.2

  • Register Now

  solutions4.2

  School: University Of British Columbia

  Course: MATH 307

  ... has positive eigenvalues. Use the power method to find the largest and the smallest ones, and the corresponding eigenvectors. Check whether the two eigenvectors you have computed are orthogonal. ...

• 2 Pages

  • hw (20)

  • Register Now

  hw (20)

  School: University Of Washington

  Course: MATH 308

  Math 308 Solutions Sec. 3.1 Problems(1,3,7,15,17,19) page 1 3.1.1 Find the eigenvalues and eigenvectors for A =    1 ... a) So λ = 1 and λ = 3 are eigenvalues. b) Eigenvectors associated with λ = 1 are in N(A − I): A − I =   ...

• 3 Pages

  • MATH 225 Homework 6 Solutions

  • Register Now

  MATH 225 Homework 6 Solutions

  School: University Of Alberta

  Course: MATH 225

  Math 225 (A1) Solution to Homework Assignment 6 1. Using the eigenvalues and their corresponding eigenvectors of A, the matrix A can ... 4 0 1 −2 1 0 −2 0 1 ⎞ ⎠. Using eigenvalues and their corresponding eigenvectors, ...

• 9 Pages

  • HW10_Sol

  • Register Now

  HW10_Sol

  School: New York University

  Course: MATHEMATIC MATH UA 12

  ... 2. Follow those eigenvectors by e0t x1 and e 5t x2 3. The solution ut/ D x1 C e 5t x2 has steady state x1 D .3; 2/. ... 5 QD 1 3 " 2 1 2 2 2 1 1 2 2# . The columns of Q are unit eigenvectors of A Each unit eigenvector could be multiplied ...

• 11 Pages

  • HW14-solutions

  • Register Now

  HW14-solutions

  School: University Of Texas

  Course: M 340L

  ... When u1 = [ 2 −1 ], u2 = [ 1 2 ] , are eigenvectors of a symmetric 2 × 2 matrix A corresponding to eigenvalues ... Now set v1 = u1 ∥u1∥ , v2 = u2 ∥u2∥ , v3 = u3 ∥u3∥ , where u1, u2, u3 are eigenvectors of A corre- sponding to λ...

• 6 Pages

  • HW15-solutions

  • Register Now

  HW15-solutions

  School: University Of Texas

  Course: M 340L

  ... (λ - 16)(λ - 1) = 0 , ie, λ1 = 16, λ2 = 1. Eigenvectors x1 and x2 associated with λ1 and λ2 are x1 = [ 1 2] , x2 = [ -2 1 ] ; these are orthogonal. The associated or- thonormal eigenvectors are thus v1 = 1 /5 [ 1 2] , v2 = 1 /5 [ -2 1 ] ...

• 10 Pages

  • HW11-solutions

  • Register Now

  HW11-solutions

  School: University Of Texas

  Course: M 340L

  ... 010 10.0 points Let A be a 2 × 2 matrix with eigenvalues 2 and −1 and corresponding eigenvectors v1 = [ 3 3 ] , v2 = [ −2 −1 ] . ... 4 shows that x0 = −3v1 +3v2. Since v1 and v2 are eigenvectors (for the eigenvalues 2 and −1 respect...

• 12 Pages

  • HW10-solutions

  • Register Now

  HW10-solutions

  School: University Of Texas

  Course: M 340L

  ... x2 x1 are eigenvectors corresponding to eigenvalues λ1 = −3 and λ2 = 1 respectively for a 2 × 2 matrix A. ... 1. FALSE correct 2. TRUE Explanation: If two eigenvectors correspond to distinct eigenvalues then they are linearly indepen- den...

• 4 Pages

  • Exercise_solutions_chapter3

  • Register Now

  Exercise_solutions_chapter3

  School: Auckland

  Course: MATHS 108

  ... But it is easy to find eigenvectors. Let f (x) = a0 + a1 x + . . . + an xn with a. ... 1. Since the space is infinitely-dimensional we cannot find eigenvalues using the characteristic polynomial. But it is easy to find eigenvectors. Let f(x) =...

• 5 Pages

  • 2050-assignment9

  • Register Now

  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. ...

• 1 Page

  • hw1

  • Register Now

  hw1

  School: University Of Utah

  Course: MATH 3150

  ... (1) (4.6.24) Given mutually orthogonal vectors v1,v2,...,vk in Rk show that |v1 + v2 + ··· + vk|2 = |v1|2 + |v2|2 + ··· + vk|2 (2) (6.1.20) Determine the eigenvalues and eigenvectors of the matrix   1 0 0 −4 7 2 10 −15 −4 ...

• 72 Pages

  • Linear Algebra- Tutorial 2

  • Register Now

  Linear Algebra- Tutorial 2

  School: McGill University

  Course: MATH 270

  Math 270, Tutorial 2: Eigenvalues & Eigenvectors Math 270, tutorial 2 ... What are the eigenvectors and eigenvalues of a matrix? The eigenvectors of a matrix are the vectors whose direction ...

• 32 Pages

  • Linear Algebra- Tutorial 11

  • Register Now

  Linear Algebra- Tutorial 11

  School: McGill University

  Course: MATH 270

  ... inputs being real. Claim: all eigenvalues are real Claim: eigenvectors corresponding to distinct eigenvalues for ... orthogonal basis by applying Gram-Schmidt to any basis. Since eigenvectors to distinct eigenvalues are orthogonal, we ...

• 4 Pages

  • HW15

  • Register Now

  HW15

  School: University Of Kentucky

  Course: MA 322

  ... V=UW, where U and W are nonzero subspaces of V. Define PL (V) by P(u+w)=u for u U and w W. Find all eigenvalues and eigenvectors of P ...

Eigenvectors Notes

• 1 Page

  • Quiz 9 Solution

  • Register Now

  Quiz 9 Solution

  School: Ohio State University

  Course: MATH 2568

  Math 2568 Quiz IX Solution Name:_____ Lecturer: Gangyong Lee Time:_____ April 08, 2013 ID#_____ 1. Find the eigenvalues and the eigenvectors for a matrix A = [1 -2 2 -3 ] . (12 pts.) Sol) det(A-λI) = ∣ ∣ ∣ 1 - λ -2 2 -3 - λ ∣ ∣ ∣ âˆ...

• 2 Pages

  • Quiz+19+solution

  • Register Now

  Quiz+19+solution

  School: Indiana University, Purdue University Indianapolis

  Course: MATH 17100

  MATH 17100 28446 Quiz 19 solution 11/30/ 2009 1. For the matrix 3 1 4 0 2 6 0 0 5 ⌈ ⌉ │ │ = A , find (i) The eigenvalues (ii) The corresponding eigenvectors Characteristic equation, 3 1 4 det( ) det 0 2 6 (3 )(2 )(5 ) 0 0 0 5 λ λ λ λ Î...

• 5 Pages

  • MenuWeekTenNotes

  • Register Now

  MenuWeekTenNotes

  School: Northwestern University

  Course: MATH 290

  ... Today we spoke about complex eigenvalues and eigenvectors. The point is that this all works the same way as real eigenvalues and eigenvectors do, only that now we work with complex numbers. Warm-Up. ...

• 4 Pages

  • m345t2S11Sol

  • Register Now

  m345t2S11Sol

  School: Embry-Riddle Aeronautical University

  Course: MA 243

  MA 345 Differential Equations Spring 2011 Exam II Solutions Dr. E. Jacobs 1. (15 points) Let A be the following matrix: A = ( 3 1 1 3 ) a) Find all eigenvalues of A 0 = det(A - λI) = ∣∣∣ 3 - λ 1 1 3 - λ ∣∣∣∣ = 3 - λ)2 - 1 so λ1 ...

• 1 Page

  • math471_hw5

  • Register Now

  math471_hw5

  School: University Of Michigan

  Course: MATH 471

  Math 471 Fall 2009 Homework 5 due: Fri Nov 13 1. Find the eigenvalues and eigenvectors of the following matrices. Do this by hand, but you may check your answers using Matlab. a) ( 2 0 0 1) b) ( 0 2 1 0) c) ( 2 −1 −1 2) d)    2 −1 0...

• 8 Pages

  • 4.1 Homework Solutions

  • Register Now

  4.1 Homework Solutions

  School: University Of British Columbia

  Course: MATH 307

  Math 307: Problems for section 4.1–4.2 March 17, 2009 1. For the following matrices find (a) all eigenvalues (b) linearly independent eigenvectors for each eigenvalue (c) the algebraic and geometric multiplicity for each eigenvalue and state whet...

• 4 Pages

  • lab12.desc

  • Register Now

  lab12.desc

  School: Purdue University

  Course: MA 366

  LAB #12 Linearization Goal: Investigate the local behavior of a nonlinear system of differential equations near its equilibrium points by linearizing the system. Required tools: Matlab routine pplane ; eigenvalues and eigenvectors. Discussion In t...

• 5 Pages

  • Notes on Eigenvalues, Eigenvectors, and Diagonalizability

  • Register Now

  Notes on Eigenvalues, Eigenvectors, and Diagonalizability

  School: University Of Toronto

  Course: MAT 224

  ... Peter Crooks March 14, 2014 1 Section 4.1: Eigenvalues and Eigenvectors Recall: ... Eλ = {x ∈ Fn : Ax = λx} = null(A − λIn). In other words, the non-zero vectors in Eλ are precisely the eigenvectors of A that have eigenvalue λ. ...

• 3 Pages

  • quiz12sol

  • Register Now

  quiz12sol

  School: University Of Texas, Arlington

  Course: MATH 3330

  MATH 3330-001 Matrices and Linear Algebra Solutions to Quiz 12 Problem 1. (10pts) Find the eigenvalues and eigenvectors of the following matrices. What are the algebraic and geometric multiplicities of these eigenvalues? A = ⎡ ⎣ 3 1 1 0 3 1 0 ...

• 2 Pages

  • M346.HW5.Solutions

  • Register Now

  M346.HW5.Solutions

  School: University Of Texas

  Course: M 346

  M346 (56615), Homework #5 Solutions * = graded Complex eigenvalues and eigenvectors (4.4) p. 70-71: 2. Since L((1, 0)T ) = (cos θ, sin θ)T and L((0, 1)T ) = (−sin θ, cos θ)T, the matrix of L is A = ( cos θ −sin θ sin θ cos θ ) . The ei...

• 6 Pages

  • Hw1080_3sols

  • Register Now

  Hw1080_3sols

  School: University Of Pittsburgh

  Course: MATH 1080

  Math 1080: Spring 2005 Homework #3 Problem 1: Show that the Householder reflector T 2ww IH - = , with 1 = w , is symmetric and orthogonal. Find the eigenvalues and eigenvectors of H. SOLUTION: Symmetry: ( ) ( ) H ww I ww I ww I H = - = - = T TT TT...

• 2 Pages

  • Math 240

  • Register Now

  Math 240

  School: University Of Pennsylvania

  Course: MATH 240

  ... [15 problems, 7 multiple choice]. 1) (d). 2) a) rank=3. b) det =0. c) 1. 3) (b). 4) only 2 eigenvectors. 5) (a). 6) x_1=c1*t*exp(2t) +c2*exp(2t). 7) (c). 8) y= (2cos(2t)+2sin(2t) ) exp(-t). 9) y=3x-1/x. 10) a_{n+2}=- (n-1)/(n+2) a_n , y=1+2x+x...

• 9 Pages

  • Exam 3 sol

  • Register Now

  Exam 3 sol

  School: University Of Maryland

  Course: MATH 246

  Third In-Class Exam Solutions Math 246, Professor David Levermore Thursday, 29 November 2012 (1) [6] Given that 2 is an eigenvalue of the matrix A =   2 2 −1 1 1 0 3 −1 1   , find all the eigenvectors of A assoc...

• 11 Pages

  • hw10solutions

  • Register Now

  hw10solutions

  School: Haverford College

  Course: MATH 215

  Math 215 HW #10 Solutions 1. Problem 5.2.14. Suppose the eigenvector matrix S has ST = S−1. Show that A = SΛS−1 is symmetric and has orthogonal eigenvectors. Proof. Suppose S = [ v1 ... vn], where vi are the eigenvectors of A. Then, since ST ...

• 3 Pages

  • 4.2

  • Register Now

  4.2

  School: Virginia Tech

  Course: MATH 1114

  4.2 Applications of Eigenvalues/Eigenvectors – Markov Chains. A Markov chain is a discrete-time stochastic process used to model certain systems in physics and statistics, for example. With a Markov Chain, a transition matrix is used to predict f...

• 4 Pages

  • Lab 5

  • Register Now

  Lab 5

  School: Rutgers University

  Course: MATH 250C

  Math 250-C Matlab Assignment #5 1 Revised 12/06/12 LAB 5: Eigenvalues and Eigenvectors In this lab you will use Matlab to study these topics: • The geometric meaning of eigenvalues and eigenvectors of a matrix • Determination of eigenvalues and ...

Eigenvectors Test Prep

• 2 Pages

  • selftest3a

  • Register Now

  selftest3a

  School: Athabasca University, Athabasca

  Course: MATH 270

  ... (4 pts) 4x - by = 2 b2x - by = 3 2. Find the characteristic equation, eigenvalues, and corresponding eigenvectors for the matrix below. (4 pts) ...

• 11 Pages

  • PracticeFinal

  • Register Now

  PracticeFinal

  School: University Of California, Davis

  Course: MAT 22A

  MAT22A, Linear Algebra Final Exam March 20, 2013 1 Find eigenvalues and eigenvectors for the following matrix A =   2 1 1 0 1 2 0 0 3   (1) 1 2 2 Find the solution, u(t), to the differential equation ...

• 8 Pages

  • Practice Final

  • Register Now

  Practice Final

  School: University Of California, Davis

  Course: MAT 22A

  MAT22A, Linear Algebra Final Exam June 6, 2014 1 Find eigenvalues and eigenvectors for the following matrix A =   2 1 1 0 1 2 0 0 3  ...

• 12 Pages

  • Sample Final

  • Register Now

  Sample Final

  School: University Of California, Irvine

  Course: MATH 4

  ... Find the eigenvalues and corresponding eigenvectors for A. Find the orthogonal ... 11 Find the eigenvalues and eigenvectors of A. A =  ...

• 4 Pages

  • Exam 3 Solution Spring 2013 on Linear Algebra

  • Register Now

  Exam 3 Solution Spring 2013 on Linear Algebra

  School: Massachusetts Institute Of Technology

  Course: EXAM 3

  ... Problem 1. In all of this problem, the 3 by 3 matrix A has eigenvalues λ1,λ2,λ3 with independent eigenvectors x1,x2,x3. ... Problem 2. Suppose A has eigenvalues 1, 1/3, 1/2 and its eigenvectors are the columns of S: S = ⎡ ⎣ ...

• 12 Pages

  • SampleFinal

  • Register Now

  SampleFinal

  School: University Of California, Irvine

  Course: MATH 4

  Math 4 Sample Final 1. 2 1 A=4 0 1 0 2 0 3 1 0 5 1 Find the eigenvalues and corresponding eigenvectors for A. Find the orthogonal matrix Q that is used to diagonalize A. 1 2. A= 1 2 2 1 Compute: A 1 eigenvalues of A eigenvalues of A 1 ...

• 1 Page

  • Math 194_Study Guide on the Invertible Matrix Theorem - Eigenvalues and Eigenvectors

  • Register Now

  Math 194_Study Guide on the Invertible Matrix Theorem - Eigenvalues and Eigenvectors

  School: Vanderbilt University

  Course: MATH 194

  Math 194 The Invertible Matrix Theorem (Unit 5 Version) Let A be a square n × n matrix. Then the following statements are equivalent. That is, for a given A, the statements are either all true or all false. 1. A is an invertible matrix. ...

• 2 Pages

  • Quiz 9 Solution on Differential Equations and Linear Algebra

  • Register Now

  Quiz 9 Solution on Differential Equations and Linear Algebra

  School: University Of Utah

  Course: MATH 2250

  Math 2250 Quiz 9 July 25, 2014 Name 1. [5 pts.] Compute the eigenvalues and eigenvectors of the following matrix. A = [10 −9 6 −5 ] Solution: ∣ ∣ ∣ ∣ 10 − λ −9 6 −5 − λ ∣ ∣ ∣ ∣ = λ − 10)(λ + 5) + 54 = λ2 − 5λ ...

• 12 Pages

  • Sample+Final

  • Register Now

  Sample+Final

  School: University Of California, Irvine

  Course: MATH 4

  ... 1 0 −1 0 −2 0 −1 0 1   Find the eigenvalues and corresponding eigenvectors for A. Find the orthogonal matrix Q that is used to diagonalize A. 1 ... 11 15. A = [ 2 0 0 3 ] Find the eigenvalues and eigenvectors of A. A =   ...

• 7 Pages

  • Sample+Midterm+1

  • Register Now

  Sample+Midterm+1

  School: University Of California, Irvine

  Course: MATH 4

  Math 4 Sample Midterm 1. A = 1 2 2 4 Find the eigenvalues and corresponding eigenvectors for A. Find the orthogonal matrix Q that is used to diagonalize A. 1 2. A =  3 1 1 1 -1 1 1 0 1   Calculate: trace(A) |A| ...

• 8 Pages

  • EXAM04-solutions

  • Register Now

  EXAM04-solutions

  School: University Of Texas

  Course: EXAM 04

  ... (λ − 16)(λ − 1) = 0 , ie, λ1 = 16, λ2 = 1. Eigenvectors x1 and x2 associated with λ1 and λ2 are x1 = [ 2 1] , x2 = [ −1 2 ] ; these are orthogonal. Associated orthonormal eigenvectors are thus v1 = 1 √5 [ 2 1] , v2 = 1 √5 [ −...

• 8 Pages

  • EXAM03-solutions

  • Register Now

  EXAM03-solutions

  School: University Of Texas

  Course: EXAM 03

  ... Explanation: Since v1 and v2 are eigenvectors corre- sponding to distinct eigenvalues of A, they form an eigenbasis for R2. Thus ... 004 10.0 points If eigenvectors of an n × n matrix A are a basis for Rn, then A is diagonalizable. ...

• 2 Pages

  • tut_no6

  • Register Now

  tut_no6

  School: IIT Bombay

  Course: MA 106

  MA 106 Linear Algebra (Spring 2016) Tut Sheet 6: Eigenvalues and Eigenvectors 1. If the n × n matrices A and ˜A are similar (ie ˜A = P−1AP for some nonsingular n × n matrix P) then ...

• 2 Pages

  • quiz9-solution

  • Register Now

  quiz9-solution

  School: University Of Illinois, Chicago

  Course: MATH 310

  QUIZ 9 Math 310 Name: Problem 1. Consider the matrix A = [ 5 4 -2 -1 ] . a) (3pt) Find the characteristic polynomial χA(λ) of A. b) (2pt) Find all eigenvalues of A. (No need to find eigenvectors) Solution. ...

• 1 Page

  • sample_midterm2

  • Register Now

  sample_midterm2

  School: Stony Brook University

  Course: AMS 210

  ... 1) (20 points) Given ⎥ ⎦ ⎤ 32 12 ~ A a) (10 pts.) Determine the eigenvalues of the matrix. b) (10 pts.) Determine the eigenvectors of the matrix. 2) (35 points) Given ⎥ ⎥ ⎥ 4 2 2 ...

• 1 Page

  • math339midreview

  • Register Now

  math339midreview

  School: Clarkson University

  Course: MATH 339

  ... A = ⎡ ⎣ 1 0 0 0 1 1 0 1 1 ⎤ ⎦. (a) Find the eigenvalues and eigenvectors. (b) Diagonalize A, that is, find matrices P and D such that A = PDP−1. (c) Compute A7 using the decomposition in part b. (2) (a) Find the LU decomposition A = ...