P = Let D = A = If possible, find an invertible matrix P so that D = P-¹AP 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. Is A diagonalizable over R? choose -7 2 -8 -4 3 -4 6 -2 7 ◆ Be sure you can explain why or why not.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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P =
Let
D =
A
If possible, find an invertible matrix P so that D = P-¹AP 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.
Is A diagonalizable over R? choose
-8
3 -4
-2 7
-7 2
-4
6
Be sure you can explain why or why not.
Transcribed Image Text:P = Let D = A If possible, find an invertible matrix P so that D = P-¹AP 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. Is A diagonalizable over R? choose -8 3 -4 -2 7 -7 2 -4 6 Be sure you can explain why or why not.
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