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. A = 4 0 -4 0 7 -10 -6 5 -8 8 -37 66 -27 10 -24 7 000 B=000 0 0 0. det(A) = k-det(B) -0.0 0

Algebra and Trigonometry (MindTap Course List)
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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.
4
A =
7 -10 -6
05 -8 8
-4 -37 66 -27
0
10 -24 7
000
B=000
000
det(A) = k-det(B)
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. 4 A = 7 -10 -6 05 -8 8 -4 -37 66 -27 0 10 -24 7 000 B=000 000 det(A) = k-det(B) 0
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