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1. Calculate the value of each determinant. 2 -3 1 0 -2 4 -4 3 1 -1 -7 1 (a) Find det (A) for A = by first row-reducing A to a REF, and then calculating 3 the determinant based on the determinant of the REF matrix (upper triangular) along with the known effect of elementary row operations to the determinant. (Hint: Be sure to keep track of the elementary row operations you performed that affect the determinant value.)

1. Calculate the value of each determinant. 2 -3 1 0 -2 4 -4 3 1 -1 -7 1 (a) Find det (A) for A = by first row-reducing A to a REF, and then calculating 3 the determinant based on the determinant of the REF matrix (upper triangular) along with the known effect of elementary row operations to the determinant. (Hint: Be sure to keep track of the elementary row operations you performed that affect the determinant value.)

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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1. Calculate the value of each determinant. (a) Find det (A) for A 2 -3 1 -2 4 -4 3 by first row-reducing A to a REF, and then calculating -7 1 -1 2 1 3 the determinant based on the determinant of the REF matrix (upper triangular) along with the known effect of elementary row operations to the determinant. (Hint: Be sure to keep track of the elementary row operations you performed that affect the determinant value.)
Transcribed Image Text:1. Calculate the value of each determinant. (a) Find det (A) for A 2 -3 1 -2 4 -4 3 by first row-reducing A to a REF, and then calculating -7 1 -1 2 1 3 the determinant based on the determinant of the REF matrix (upper triangular) along with the known effect of elementary row operations to the determinant. (Hint: Be sure to keep track of the elementary row operations you performed that affect the determinant value.)
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