6. In each part below, an elementary matrix is shown next to a matrix A. Identify the row operation corresponding to E and verify that the product EA results from applying the row operation to A -2 5 (a) E = A = 3 -6 -6 [2 -1 0 -4 -4 (b) E = |0 A = |1 -3 -1 3 -3 2 0 1 -1 |10 4 (c) E = |0 1 A = |2 5 1 3 6.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 42EQ
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6. In each part below, an elementary matrix is shown next to a matrix A. Identify the row
operation corresponding to E and verify that the product EA results from applying the row
operation to A
-2
5 -1
(a) E =
A =
3
-6
-6
-6
2 -1
-4
(b) E = |0
A =
1
-3
-1
5
3
-3
1
1
-1
[1
4
4
(c) E = 0
0 0
1
A =
2.
5
1
3
6.
Transcribed Image Text:6. In each part below, an elementary matrix is shown next to a matrix A. Identify the row operation corresponding to E and verify that the product EA results from applying the row operation to A -2 5 -1 (a) E = A = 3 -6 -6 -6 2 -1 -4 (b) E = |0 A = 1 -3 -1 5 3 -3 1 1 -1 [1 4 4 (c) E = 0 0 0 1 A = 2. 5 1 3 6.
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