23-2 Consider the matrix A, 1 0 A = -2-32 1 1 1 0 3 -1 0 0 1 2 1 2 -7075 3-2-5 (a) Use correct step-by-step row reduction to compute the det(A). (b) Use your answer in part (a) to compute the det(2A-¹)

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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23-2
Consider the matrix A,
1
0
A =
-2-32 1
1
1 0 3 -1
0 0 1 2
1 2
-7075
3-2-5
(a) Use correct step-by-step row reduction to compute the det(A).
(b) Use your answer in part (a) to compute the det(2A-¹)
Transcribed Image Text:23-2 Consider the matrix A, 1 0 A = -2-32 1 1 1 0 3 -1 0 0 1 2 1 2 -7075 3-2-5 (a) Use correct step-by-step row reduction to compute the det(A). (b) Use your answer in part (a) to compute the det(2A-¹)
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