Го 2 1 -1 0 0 Show that A 3 5 3 and B = 0 -3 2 are similar matrices by finding an invertible matrix P satisfying A = P-¹BP (this is 0 -1 0 -8 -16 -9 what it means for matrices to be similar). P-1 = 000 000 1000 |, P = 000 000 [000]

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
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Го
2
1
-1
0 0
Show that A
3
5
3
and B =
0
-3 2 are similar matrices by finding an invertible matrix P satisfying A = P-¹BP (this is
0 -1 0
-8 -16 -9
what it means for matrices to be similar).
P-1
=
000
000
1000
|, P =
000
000
[000]
Transcribed Image Text:Го 2 1 -1 0 0 Show that A 3 5 3 and B = 0 -3 2 are similar matrices by finding an invertible matrix P satisfying A = P-¹BP (this is 0 -1 0 -8 -16 -9 what it means for matrices to be similar). P-1 = 000 000 1000 |, P = 000 000 [000]
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