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Consider the following matrix 3 -3 A = 3 4 -4 2 -3 a. Compute det(A) by using the special pattern for 3 x 3 matrices. b. Compute det(A) by row reducing A into echelon form. Hint: use Theorem 3 from §3.2 to keep track of how the determinant changes.

Consider the following matrix 3 -3 A = 3 4 -4 2 -3 a. Compute det(A) by using the special pattern for 3 x 3 matrices. b. Compute det(A) by row reducing A into echelon form. Hint: use Theorem 3 from §3.2 to keep track of how the determinant changes.

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 matrix 3 -3 A = 3 4 -4 2 -3 -5 a. Compute det(A) by using the special pattern for 3 x 3 matrices. b. Compute det(A) by row reducing A into echelon form. Hint: use Theorem 3 from §3.2 to keep track of how the determinant changes.
Transcribed Image Text:Consider the following matrix 3 -3 A = 3 4 -4 2 -3 -5 a. Compute det(A) by using the special pattern for 3 x 3 matrices. b. Compute det(A) by row reducing A into echelon form. Hint: use Theorem 3 from §3.2 to keep track of how the determinant changes.
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