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Consider the following Gauss elimination: What is the determinant of A? det (A) = Γ1 0 77 A 0 1 0 A 0 0 1 E₁ [10 0 0 1 0 00-2 E₂ [0 1 07 E₁A1 0 0E₂E₁A → 0 0 1 E3 [100] 0 6 0 E3E2E₁A= 0 0 1 BA -8 0 0 7 7 2 7 0 -7

Consider the following Gauss elimination: What is the determinant of A? det (A) = Γ1 0 77 A 0 1 0 A 0 0 1 E₁ [10 0 0 1 0 00-2 E₂ [0 1 07 E₁A1 0 0E₂E₁A → 0 0 1 E3 [100] 0 6 0 E3E2E₁A= 0 0 1 BA -8 0 0 7 7 2 7 0 -7

Advanced Engineering Mathematics
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: What is the determinant of A? det (A) = [1 0 7 A 0 1 0 0 1 A [1 0 0 1 0 0 E₂ 0 0E₁A -2 TO 1 0 [1 0 1 0 0 E₂E₁A → 06 |0 0 0 01 E3 0 0 E3E2E₁A= 1 T-8 7 7 0 2 7 0 0 -7
Transcribed Image Text:Consider the following Gauss elimination: What is the determinant of A? det (A) = [1 0 7 A 0 1 0 0 1 A [1 0 0 1 0 0 E₂ 0 0E₁A -2 TO 1 0 [1 0 1 0 0 E₂E₁A → 06 |0 0 0 01 E3 0 0 E3E2E₁A= 1 T-8 7 7 0 2 7 0 0 -7
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