An invertible matrix A can be written as a product of elementary matrices as follows: 2 0 0 1 0 1 0 0 1 0 1 A = - ( : ) ( ) ( : ) ( ) ( :96:9 0 1 0 1 0 1 0 1 0 0 0 1 0 Find the determinant of A

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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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An invertible matrix A can be written as a product of elementary matrices as follows:
0 1
0
1
10
9 6 ÷ 9 6 : 9 6 : 9
1 00
0 0 1 0
0
0
0 1
00 1
1 00
A:
- 6:96:96
=
0 1 0
10
20
Find the determinant of A
1
0
-1
Transcribed Image Text:An invertible matrix A can be written as a product of elementary matrices as follows: 0 1 0 1 10 9 6 ÷ 9 6 : 9 6 : 9 1 00 0 0 1 0 0 0 0 1 00 1 1 00 A: - 6:96:96 = 0 1 0 10 20 Find the determinant of A 1 0 -1
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