For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not possible, enter IMPOSSIBLE.) 12 -4 A = -3 1 P = Verify that P-lAP is a diagonal matrix with the eigenvalues on the main diagonal. p-'AP =

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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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.)
12
-4
A =
-3
1
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.) 12 -4 A = -3 1 P = Verify that P'AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP =
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