3x + 2y + 7z = 4 2x + 3y + z = 5 3x + 4y + z = 7
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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Transcribed Image Text:Find the lower triangular matrix of the coefficient matrix
3x + 2y + 7z = 4
2x + 3y + z = 5
3x + 4y + z = 7
1
0 01
L = 2/3
1 0
1
6/5 1
O
O
O
L=
1
-2/3
1
1
L = 3/2
1
1
L = 3/2
1
0 0
1 0
6/5 1
0 0
1 0
5/6 1
0 0
1 0
6/5 1
✩
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