For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not possible, enter IMPOSSIBLE.) -5 0 -3 2 -5 A = 5 0 2. P = Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP =

For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not possible, enter IMPOSSIBLE.) -5 0 -3 2 -5 A = 5 0 2. P = Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP =

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 0
-3 2 -5
A =
5 0
2.
P =
Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal.
p-1AP =

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