Consider the following Gauss elimination: What is the determinant of A? det(A)= [100] [10 [1 0 0 -6 7 A 0 0 1A 0 1 ・ E₁ 0 0 0 6 En 0 1 0 E₁A → 0 1 0 E2E₁A → 00 1 0 9 0 EEE₁A 9 -7 0 0 1 0 0 2 Es E₁

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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Consider the following Gauss elimination:
What is the determinant of A?
det(A)=
[100]
[10
[1
0 0
-6 7
A 0 0 1A
0 1
・
E₁
0
0 0 6
En
0 1 0 E₁A →
0 1 0 E2E₁A →
00 1
0 9 0 EEE₁A
9
-7
0 0 1
0 0
2
Es
E₁
Transcribed Image Text:Consider the following Gauss elimination: What is the determinant of A? det(A)= [100] [10 [1 0 0 -6 7 A 0 0 1A 0 1 ・ E₁ 0 0 0 6 En 0 1 0 E₁A → 0 1 0 E2E₁A → 00 1 0 9 0 EEE₁A 9 -7 0 0 1 0 0 2 Es E₁
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