Consider the following Gauss elimination: 0 07 0 E2E¡A → ГО 1 07 [1 -97 [1 0 07 Г4 -3 1 0 0 | A → 1 E1A → 1 0 2 E3E2E1A = -3 -1 1 1 0 2 1 -1 E2 E3 E4 What is the determinant of A? det(A) =

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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Consider the following Gauss elimination:
ГО 1
07
[1 0 -91
[1 0 07
[1 0 07
[4
-3
6
1 0 0A →
0 2 0 E3E2E1A
0 E1A → 0 1 0|E2E¡A →
0 2
1
-3
-1
0 0 1
-1
E
E4
What is the determinant of A?
det(A)
Transcribed Image Text:Consider the following Gauss elimination: ГО 1 07 [1 0 -91 [1 0 07 [1 0 07 [4 -3 6 1 0 0A → 0 2 0 E3E2E1A 0 E1A → 0 1 0|E2E¡A → 0 2 1 -3 -1 0 0 1 -1 E E4 What is the determinant of A? det(A)
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