Exercise 2.12. Let 2 3 1 4 -1 1 3 1 2 3 4 and let U be one of the matrices shown below. Compute UA. a) U d) U= 0 1 0 0 0000 0000 0000 a) U = 0000 0010 0000 0000, A= 0100 1000 0010 0001 || b) / e) U= -1 1 1000 0010 0100 0001 2 -2 -5 0 0 0 0 1000 0000 0000, 0000 0000 0000 0 0 1 0, Exercise 2.13. Do the same exercise with the following matrices U and A as above: b) U 1000 0 1 00 0-2 10 0001 c) U = c) U 1000 0100 0010 0501 = 0 0 f) U = 0 0 0 0 000 1 00 000, d) U= 0000 0000 0001 0000,

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 82E: Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.
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do 2.13

Exercise 2.12. Let
a) 4 =
4 2
-2
-1
3 -5
1
1 2 3 4
and let U be one of the matrices shown below. Compute UA.
d) ઞ =
=
0 1 0 0
0000
0000
0000
0000
0010
0000
0000
A =
0100
1000
0010
0001
b) U
2
1
e) U:
3-1 1
1000
0010
0100
0001
000
1000
0000
0000
0000
0000
0000
00 10
Exercise 2.13. Do the same exercise with the following matrices U
a) U =
b) U =
c) U =
c) U=
1000
0100
0010
0501
f) U =
0 0 0 0
0000
0100
0000
0000
0000
0001
0000
and A as above:
d) U =
1 000
0 1 0 0
0-2 10
0 0 0 1
Transcribed Image Text:Exercise 2.12. Let a) 4 = 4 2 -2 -1 3 -5 1 1 2 3 4 and let U be one of the matrices shown below. Compute UA. d) ઞ = = 0 1 0 0 0000 0000 0000 0000 0010 0000 0000 A = 0100 1000 0010 0001 b) U 2 1 e) U: 3-1 1 1000 0010 0100 0001 000 1000 0000 0000 0000 0000 0000 00 10 Exercise 2.13. Do the same exercise with the following matrices U a) U = b) U = c) U = c) U= 1000 0100 0010 0501 f) U = 0 0 0 0 0000 0100 0000 0000 0000 0001 0000 and A as above: d) U = 1 000 0 1 0 0 0-2 10 0 0 0 1
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