A = -6 -4 5 3 -2 -2 5 14 -10 If possible, find an invertible matrix P so that D = P¹AP 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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 7CR
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P =
Let
D=
A =
Is A diagonalizable over R? choose
-6
5
-2
If possible, find an invertible matrix P so that D = P¹AP 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.
-4
3
-2 5
14
-10
Be sure you can explain why or why not.
Transcribed Image Text:P = Let D= A = Is A diagonalizable over R? choose -6 5 -2 If possible, find an invertible matrix P so that D = P¹AP 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. -4 3 -2 5 14 -10 Be sure you can explain why or why not.
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