For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not possible, enter IMPOSSIBLE.) -4 A = -5 -5 -2 -3 0 -5 P = Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal. p-'AP =

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.)
-4
A =
-5 -5 -2
-3 0 -5
P =
Verify that P-'AP 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.) -4 A = -5 -5 -2 -3 0 -5 P = Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal. p-'AP =
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