Consider the following Gauss elimination:1 0 00 10 01[10]0 -9 0 E3 E, E¡ A = | 0117 -3 -910 E A +10 E, EA →8-781 0 00 0 111EE2E3E.What is the determinant of A?det(A) =

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Answered: Consider the following Gauss…

Consider the following Gauss elimination: 1 0 0 0 1 0 0 7 -3 [1 0] 0 -9 0 E,E,E, A = 0 1 1 -9 O JA → 1 0 E A - 1 0 EE,A → 8 -7 0 0 8 1 0 0 1 1 1 E E2 E3 E. What is the determinant of A? det(A) =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 20EQ

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Question

Consider the following Gauss elimination:
1 0 0
0 1
0 0
1
[1
0]
0 -9 0 E3 E, E¡ A = | 0
1
1
7 -3 -9
1
0 E A +
1
0 E, EA →
8
-7
8
1 0 0
0 0 1
1
1
E
E2
E3
E.
What is the determinant of A?
det(A) =

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