Express the matrix and its inverse as products of elementary matrices. 10-6 i 7 1 A = 0 9 00 The matrix A can be written as: [100][100][1 0 1 70-9 601 0 01 0 -6][100][1 01 0 017 0 00 1 001 0 -1 0 1 0

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Express the matrix and its inverse as products of elementary matrices.
1 0 -6
A = 0 9 7
0 0 1
The matrix A can be written as:
0 1
0 0 1 0 0 1 0
0
1 0 0 1
I!
-1 0 16 0 1
-6][10 07
0 17
01 0
01
0
Lo 0 1
01 0 0
0 1 0
6 0 1.
01 0 61 0
70-90
0 0
100
090
00
1 0 0 1
0 1
70-90
I
00
0
0
0 1 0 0 1 0
001 0 -7
01 0 6110 0
0 1 0 0 1 -7
0 0 10 0
g
0
1 0 0]
0 90
100
0
0
Transcribed Image Text:Express the matrix and its inverse as products of elementary matrices. 1 0 -6 A = 0 9 7 0 0 1 The matrix A can be written as: 0 1 0 0 1 0 0 1 0 0 1 0 0 1 I! -1 0 16 0 1 -6][10 07 0 17 01 0 01 0 Lo 0 1 01 0 0 0 1 0 6 0 1. 01 0 61 0 70-90 0 0 100 090 00 1 0 0 1 0 1 70-90 I 00 0 0 0 1 0 0 1 0 001 0 -7 01 0 6110 0 0 1 0 0 1 -7 0 0 10 0 g 0 1 0 0] 0 90 100 0 0
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