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Use the facts that det(E3E2E1E0A) = 1 and • Eo is a replace matrix (−5A9,: + A7,; → A7,:) E₁ is a replace matrix (7A8,: + A6,: → A6,:) E2 is a replace matrix (9A6,: + A2,: → A2,:) E3 is a replace matrix (3A1,: + A10,: → A10,:) to find the determinant of A.

Use the facts that det(E3E2E1E0A) = 1 and • Eo is a replace matrix (−5A9,: + A7,; → A7,:) E₁ is a replace matrix (7A8,: + A6,: → A6,:) E2 is a replace matrix (9A6,: + A2,: → A2,:) E3 is a replace matrix (3A1,: + A10,: → A10,:) to find the determinant of A.

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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Use the facts that det(E3E2E₁E0A) = 1 and E is a replace matrix (-5A9,: + A7,; → A7,:) E₁ is a replace matrix (7A8,: + A6,: → A6,:) E2 is a replace matrix (9A6,: + A2,: → A2,:) E3 is a replace matrix (3A₁,: + A10,: → A10,:) to find the determinant of A.
Transcribed Image Text:Use the facts that det(E3E2E₁E0A) = 1 and E is a replace matrix (-5A9,: + A7,; → A7,:) E₁ is a replace matrix (7A8,: + A6,: → A6,:) E2 is a replace matrix (9A6,: + A2,: → A2,:) E3 is a replace matrix (3A₁,: + A10,: → A10,:) to find the determinant of A.
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