a) For the matrix A below, find the eigenvalues, the eigenvectors, a basis B for which the matrix [LA]s is diagonal and the change of basis matrix from the standard basis of R³ to B. A = 200 -245 0 1 0 -4 2 b) For which values of r does the matrix A = -[7 ] have real eigenvalues? I -2 c) Take z = -1 and find the eigenvectors of A.

a) For the matrix A below, find the eigenvalues, the eigenvectors, a basis B for which the matrix [LA]s is diagonal and the change of basis matrix from the standard basis of R³ to B. A = 200 -245 0 1 0 -4 2 b) For which values of r does the matrix A = -[7 ] have real eigenvalues? I -2 c) Take z = -1 and find the eigenvectors of A.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.1: Introduction To Eigenvalues And Eigenvectors

Problem 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...

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