For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not possible, enter IMPOSSIBLE.) 2 -2 7 A = 3 -2 0 -1 2 P = Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal. p-'AP =

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 55E
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For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not possible, enter IMPOSSIBLE.)
2 -2
7
A =0
3 -2
0 -1
2.
P =
Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal.
p-1AP =
Transcribed Image Text:For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not possible, enter IMPOSSIBLE.) 2 -2 7 A =0 3 -2 0 -1 2. P = Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP =
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