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,
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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