nsider the following Gauss elimination: ГО 1 0 1 0 0 0 E₁ 0 A→ 1 0 0 9 1 0 E₂ 1 0 1 0 0E₁A0 1 E3 0 0 -1 [1 0 E₂E₁A0 0 7 0 EE₂E₁A= 00 1 E₁ [7-2 0 6 0 7 3 -8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Consider the following Gauss elimination:
0 1 0
1 0 91
A→ 1 0 0 A→ 0 1 0E₁A →
00
1
0
0 1
E₁
E2
What is the determinant of A?
[100
0 1 0
00
-1
E3
E₂E₁A
[1 0 0
0 7 0 EE₂E₁A=0
0
01
[7 -2 7
6 3
Es
0
0
-8
Transcribed Image Text:Consider the following Gauss elimination: 0 1 0 1 0 91 A→ 1 0 0 A→ 0 1 0E₁A → 00 1 0 0 1 E₁ E2 What is the determinant of A? [100 0 1 0 00 -1 E3 E₂E₁A [1 0 0 0 7 0 EE₂E₁A=0 0 01 [7 -2 7 6 3 Es 0 0 -8
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