1. Show that the following pairs of matrices are not similar. 1 2 A = and B = 2 1 a. b. C. A = A = = 2 1 1 2 2 1 1 0 0 0 3 2 1 0 1 2 2 and B = and 4 -2 B = 1 0 1 -1 2 2 0 1 2 0 2

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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1.
Show that the following pairs of matrices are not similar.
1 2
and
B =
2 1
a.
b.
C.
d.
A =
A =
A =
A =
2 1
1
2
2
1
0
3
1 2
0
0
1
1 2
0 2
-3
and
1 2 1
2 2
012
B =
4
-2
and B =
and B =
1
0
1
-1
2
2
1
0
1
0
-3
0
2
2
2
1
2
1
2
2
Transcribed Image Text:1. Show that the following pairs of matrices are not similar. 1 2 and B = 2 1 a. b. C. d. A = A = A = A = 2 1 1 2 2 1 0 3 1 2 0 0 1 1 2 0 2 -3 and 1 2 1 2 2 012 B = 4 -2 and B = and B = 1 0 1 -1 2 2 1 0 1 0 -3 0 2 2 2 1 2 1 2 2
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