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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
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For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.)
12 -4
A =
-3
P =
Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal.
Transcribed Image Text:For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) 12 -4 A = -3 P = Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal.
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