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

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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.)
6 -3
A =
-2
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.) 6 -3 A = -2 P = Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal. P-1AP =
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