The matrix O l 5 1 6 1 by applying a sequence of elementary row operations. What is the inverse of A? 1 -2 0 1 -3 0 1 AI ] was transformed into 31 2 -2 0-1 12 13 18 00 00 09 1 0 0 2 3 8 2 0 1 -3 0 31 2 -2 0 -1 1 12 3 1 -20 -1 1 2 3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 15EQ: 15. Reverse the elementary row operations used in Example 2.9 to show that we can convert
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The matrix A
O
O
by applying a sequence of elementary row operations.
What is the inverse of A?
1 -2
0 1 -3
0
5 13 18
3 1
2
-2 0 -1
1 2 3
36
1
A I was transformed into
1
0
0
00
8
2 3
-2
0
3 1 2
1
-3
-2 0 -1
0 1 12 3
-1 1
-2 0 -1
1 2 3
Transcribed Image Text:The matrix A O O by applying a sequence of elementary row operations. What is the inverse of A? 1 -2 0 1 -3 0 5 13 18 3 1 2 -2 0 -1 1 2 3 36 1 A I was transformed into 1 0 0 00 8 2 3 -2 0 3 1 2 1 -3 -2 0 -1 0 1 12 3 -1 1 -2 0 -1 1 2 3
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