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. 1-4 A = = B = 1 - 08 2 -3 00 0 1 87 9 0 0 0 0 0 0 0 0 0000 0 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.
1-4
A =
=
B
=
1
-
08
2 -3
00 0 1
87 9
0 0 0 0
0 0 0 0
0000
0 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. 1-4 A = = B = 1 - 08 2 -3 00 0 1 87 9 0 0 0 0 0 0 0 0 0000 0 0 0 0 det(A) = k det(B) = 0.0 = 0
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