For the matrix A, find (if possible) a nonsingular matrix P such that P−1AP is diagonal. (If not possible, enter IMPOSSIBLE.) A = 2 0 0 −4 5 −1 −1 0 5 P = Verify that P−1AP 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−1AP is diagonal. (If not possible, enter IMPOSSIBLE.) A = 2 0 0 −4 5 −1 −1 0 5 P = Verify that P−1AP 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.CR: Review Exercises
Problem 66CR
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Question
For the matrix A, find (if possible) a nonsingular matrix P such that P−1AP is diagonal. (If not possible, enter IMPOSSIBLE.)
A =
2 0 0
−4 5 −1
−1 0 5
P =
Verify that P−1AP is a diagonal matrix with the eigenvalues on the main diagonal.
P−1AP =
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