Let A = -13 8 6 4 -36 -1 20 -2 17 If possible, find an invertible matrix P so that D = P¹ AP is a diagonal matrix. If it is not possible, enter the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section: Chapter Questions
Problem 17RQ
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P =
Let
D=
A =
Is A diagonalizable over R? choose
-13
If possible, find an invertible matrix P so that D = P¹ AP is a diagonal matrix. If it is not possible, enter
the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the
answer evaluator to work properly.
6
4
-36
−1
20
-2 17
Be sure you can explain why or why not.
Transcribed Image Text:P = Let D= A = Is A diagonalizable over R? choose -13 If possible, find an invertible matrix P so that D = P¹ AP is a diagonal matrix. If it is not possible, enter the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly. 6 4 -36 −1 20 -2 17 Be sure you can explain why or why not.
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