Show that A and B are not similar matrices. 3 -1 A = [ 23² ||- • - [ 22 -] ] B = -3 6 -4 9 Since A has characteristic polynomial p(2) = and B has characteristic polynomial p(2) = , the two matrices are not similar.

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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Show that A and B are not similar matrices.
3 -1
A = [ 23² ||- • - [ 22 -]
]
B =
-3 6
-4 9
Since A has characteristic polynomial p(2) =
and B has characteristic polynomial p(2) =
, the two matrices are not similar.
Transcribed Image Text:Show that A and B are not similar matrices. 3 -1 A = [ 23² ||- • - [ 22 -] ] B = -3 6 -4 9 Since A has characteristic polynomial p(2) = and B has characteristic polynomial p(2) = , the two matrices are not similar.
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