Compute the determinant of the matrix A, below, by using row operations to transform A to an upper-triangular matrix B. Then express the determinant of A as a multiple k of the determinant of B, and use this to compute the determinant of A. 0 -5 28 26 0 5-8-4 A = 0 15-29-15 -1 -6 -5 -4 000 B=000 0 0 0 det(A) k-det(B) = 0.0 = 0

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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Compute the determinant of the matrix A, below, by using row operations to transform A to an upper-triangular matrix B. Then express the determinant of A as a multiple k of the determinant of B, and
use this to compute the determinant of A.
0
-5 28 26
0
5-8-4
A =
0
15-29-15
-1 -6 -5 -4
000
B=000
0 0 0
det(A) k-det(B)
= 0.0
= 0
Transcribed Image Text:Compute the determinant of the matrix A, below, by using row operations to transform A to an upper-triangular matrix B. Then express the determinant of A as a multiple k of the determinant of B, and use this to compute the determinant of A. 0 -5 28 26 0 5-8-4 A = 0 15-29-15 -1 -6 -5 -4 000 B=000 0 0 0 det(A) k-det(B) = 0.0 = 0
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