For the matrix A, find (if possible) a nonsingular matrix P such that P'AP is diagonal. (If not possible, enter IMPOSSIBLE.) -5 A = -2 -3 -3 -2 0 -3 P = Verify that PAP 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.)
-5
A =
-2 -3 -3
-2
0 -3
P =
Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal.
p-'AP =
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.) -5 A = -2 -3 -3 -2 0 -3 P = Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal. p-'AP =
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