Decide whether the following matrices are totally unimodular: 1 0 −1 -1 1 1 -1 1 0 00 A = 0 1 0 0 -1 1 0 −1 -1 1 1 0 0 1 0 00 0 1 00 0-1 -1 0 1 −1 0 B = 0 -1 -1 0 -1 0 0 0-1 0 0 0 -1 -1 0 1 1 0 Justify your decision and explain all steps of your solution approach.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 80E
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Question
Decide whether the following matrices are totally unimodular:
1
0 −1 -1
1 1
-1
1 0
00
A =
0
1
0
0
-1
1
0
−1
-1
1 1
0
0
1
0
00
0
1
00
0-1
-1
0 1
−1
0
B =
0 -1 -1 0
-1
0
0
0-1 0
0
0
-1
-1 0 1
1
0
Justify your decision and explain all steps of
your
solution approach.
Transcribed Image Text:Decide whether the following matrices are totally unimodular: 1 0 −1 -1 1 1 -1 1 0 00 A = 0 1 0 0 -1 1 0 −1 -1 1 1 0 0 1 0 00 0 1 00 0-1 -1 0 1 −1 0 B = 0 -1 -1 0 -1 0 0 0-1 0 0 0 -1 -1 0 1 1 0 Justify your decision and explain all steps of your solution approach.
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