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 -7 -8 -5 3 0 0 9 -5-37-34-32 3 21 42 27 A = 000 B= 0 0 0 000 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
Problem 11CC
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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 -7 -8 -5
0 0 9 3
-5-37-34-32
3 21 42 27
A =
000
B=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. -1 -7 -8 -5 0 0 9 3 -5-37-34-32 3 21 42 27 A = 000 B=000 000 det(A) k-det(B) = 0.0 = 0
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