Q7: Write the matrix Г1 -2 0 07 3 10 0 100 [4 -8 0 5] A = as the product of elementary matrices. To help you save time, I've worked out a few steps in the process already. [1 0 0 0] 0 1 0 0 -2R2+R1 0 1 o 0 5RA 0 0 1 03R2+R3 o o o 1] [1 -2 0 0] 1 0 0 0 3 10 0 0 0 5] Г1 -2 0 0] 0 3 10 0 0 0 1] complete the Gaussian Elimination Steps necessary to get to A and then write A as a product of elementary matrices.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 14T
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Q7: Write the matrix
[1 -2 0 0]
1 0
A
0 10 0
[4 -8 0 5
as the product of elementary matrices. To help you save time, I've worked out a few steps in the process
already.
[1 0 0 0]
0 1 0 0
0 0 1 0
o o 0 1]
[1 -2 0 0]
0 10 0
0 3 1 0
o 0 0 1]
[1 -2 0 0]
0 0
1 0
-2R2+R1
5R4
1
0 3
o 0 0 5
3R2+ R3
complete the Gaussian Elimination Steps necessary to get to A and then write A as a product of elementary
matrices.
Transcribed Image Text:Q7: Write the matrix [1 -2 0 0] 1 0 A 0 10 0 [4 -8 0 5 as the product of elementary matrices. To help you save time, I've worked out a few steps in the process already. [1 0 0 0] 0 1 0 0 0 0 1 0 o o 0 1] [1 -2 0 0] 0 10 0 0 3 1 0 o 0 0 1] [1 -2 0 0] 0 0 1 0 -2R2+R1 5R4 1 0 3 o 0 0 5 3R2+ R3 complete the Gaussian Elimination Steps necessary to get to A and then write A as a product of elementary matrices.
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