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 10 8 7 3 A = 5 -9 2 -5 45 -57 33 32 0 00 0 B =0 0 0 0 0 0 0 0 det(A) = k•det(B) = 0:0 = 0 O o n

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.
-1 10
8
7 3
A =
5 -9 2 -5
45 -57 33 32
0 00 0
B =0 0 0 0
0 0 0 0
det(A) = k•det(B)
= 0.0
= 0
O o n
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 10 8 7 3 A = 5 -9 2 -5 45 -57 33 32 0 00 0 B =0 0 0 0 0 0 0 0 det(A) = k•det(B) = 0.0 = 0 O o n
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