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. 15 12 9-14 A = 080-5 544-6 5 4 3-5 000 B=000 000 det(A) = k-det(B)

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
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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.
15 12 9 14
0 80-5
5
4 4 -6
5
4 3 -5
A =
B
=
000
000
000
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. 15 12 9 14 0 80-5 5 4 4 -6 5 4 3 -5 A = B = 000 000 000 det(A) = k det(B) = 0.0 = = 0
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