Write down the 3 by 3 matrices that produce these elimination steps:(a) E21 subtracts 5 times row 1 from row 2.(b) E32 subtracts - 7 times row 2 from row 3.(c) P exchanges rows 1 and 2, then rows 2 and 3.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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Write down the 3 by 3 matrices that produce these elimination steps:
(a) E21 subtracts 5 times row 1 from row 2.
(b) E32 subtracts - 7 times row 2 from row 3.
(c) P exchanges rows 1 and 2, then rows 2 and 3.

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