00 -2 Let A 2 1 1 0 3 (a) Find all the eigenvalues of A. (b) Find a diagonal 3 × 3 matrix D and an invertible 3 × 3 matrix P such that A = PDP-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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Let A =
0 0 −2
1 2 1
1 0 3
(a) Find all the eigenvalues of A.
(b) Find a diagonal 3 × 3 matrix D and an invertible 3 × 3 matrix P such that A = PDP−1

00 -2
Let A =
2
1
1 0
3
(a) Find all the eigenvalues of A.
(b) Find a diagonal 3 × 3 matrix D and an invertible 3 × 3 matrix P such that A = PDP-¹.
Transcribed Image Text:00 -2 Let A = 2 1 1 0 3 (a) Find all the eigenvalues of A. (b) Find a diagonal 3 × 3 matrix D and an invertible 3 × 3 matrix P such that A = PDP-¹.
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