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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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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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