1. Determine if the following matrices are diagonalizable. If they are, find an invertible matrix P and a diagonal matrix D such that A = PDP-¹. If not, explain why. (a) A = (b) A = 3 2 -2 -2 -4 1 0 0 1 1 2 1 4 2 0 -1

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
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1. Determine if the following matrices are diagonalizable. If they are, find an invertible matrix
P and a diagonal matrix D such that A = PDP-¹. If not, explain why.
(a) A =
(b) A
=
3
2
-2
-2
-4
1
-1
0
2
4 2
-1 0
Transcribed Image Text:1. Determine if the following matrices are diagonalizable. If they are, find an invertible matrix P and a diagonal matrix D such that A = PDP-¹. If not, explain why. (a) A = (b) A = 3 2 -2 -2 -4 1 -1 0 2 4 2 -1 0
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