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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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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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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