Consider the following Gauss elimination: 1 0 0 0 1 1 0 0 A → 0 0 A →→ 0 -9 E₁ What is the determinant of A? det (A) = 0 0 E2 0E₁A → 1 0 0 0 -4 0 E3 07 0 E₂E₁A → 1 1 0 1 0 0 E₁ 0 E3E2E₁A = 1 [5 ܘ ܘ ܘ 0 ܕ ܂ ܘ -1 7 -1 7
Consider the following Gauss elimination: 1 0 0 0 1 1 0 0 A → 0 0 A →→ 0 -9 E₁ What is the determinant of A? det (A) = 0 0 E2 0E₁A → 1 0 0 0 -4 0 E3 07 0 E₂E₁A → 1 1 0 1 0 0 E₁ 0 E3E2E₁A = 1 [5 ܘ ܘ ܘ 0 ܕ ܂ ܘ -1 7 -1 7
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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Transcribed Image Text:Consider the following Gauss elimination:
0
W⠀⠀⠀
0 1 0 A → 0 1 0 E₁A → 0 –4 0 E₂E₁A → 1 0 0 E3E2E₁A = 0
0 0 1
E3
A →→
[1 0
0 0 -9
E₁
What is the determinant of A?
det (A) =
1 0
0 0 1
E2
1
0 1
E₁
[5
5
-1
0
7
-1
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