1.5.1(e) For the following matrix, find the eigenvalues and also those eigenvectors that corre-spond to the real eigenvalues:2 1 -10 112 0-21.5.7 Suppose A is a square matrix and let A be an eigenvalue of A. Prove that if det A # 0,then A + 0. In this case show that 1/A is an eigenvalue of the inverse A !.

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1.5.1(e) For the following matrix, find the eigenvalues and also those eigenvectors that corre- spond to the real eigenvalues: 2 1 -1 0 1 20 -2 1

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 80E

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Question

1.5.1(e) For the following matrix, find the eigenvalues and also those eigenvectors that corre-
spond to the real eigenvalues:
2 1 -1
0 1
1
2 0
-2
1.5.7 Suppose A is a square matrix and let A be an eigenvalue of A. Prove that if det A # 0,
then A + 0. In this case show that 1/A is an eigenvalue of the inverse A !.

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