42 please Problem III Let B denote the matrix given below.(i) Find all eigenvalues of the matrix B.(ii) For each eigenvalue of B, find an associated eigenvector.(iii) Is the matrix B diagonalizable? Explain.(iv) Find all eigenvalues of the matrix 2B + 31, where I is the identity matrix.41.45.49.53.57.1 0 101010 11-3 00 10003101 00 11 0200020103010242.46.50.54.100301011010201010001020200220 -10020 -10258. 0-1 043. 047.51.1 0-11 0 155.0001 0 101000302020-1 0102010 -120-259. -1 1210 -1144. 0148.52.56.60.0-20000201010010101000002-1 02 -10120110

Answered: Image /qna-images/answer/3cbb755b-bf63-4504-8ec0-7643e4450a5f.jpg

Problem III Let B denote the matrix given below. (i) Find all eigenvalues of the matrix B. (ii) For each eigenvalue of B, find an associated eigenvector. (iii) Is the matrix B diagonalizable? Explain. (iv) Find all eigenvalues of the matrix 2B +3I, where I is the identity matrix. 41. 10 (9) 0 1 0 10 /1 0 1\ 101 42. 030 10 /1 0 1 43. 0 (-1) 46- 0 44. 01 (0 0 0) 1 0 1 0-20 1 01 000\

Problem III Let B denote the matrix given below. (i) Find all eigenvalues of the matrix B. (ii) For each eigenvalue of B, find an associated eigenvector. (iii) Is the matrix B diagonalizable? Explain. (iv) Find all eigenvalues of the matrix 2B +3I, where I is the identity matrix. 41. 10 (9) 0 1 0 10 /1 0 1\ 101 42. 030 10 /1 0 1 43. 0 (-1) 46- 0 44. 01 (0 0 0) 1 0 1 0-20 1 01 000\

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.4: The Singular Value Decomposition

Problem 26EQ

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