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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 00 9 3 -5 -37 -34-32 21 42 27 3 A = B = 1785 0-2 6-7 0031 0001 det(A)= k-det(B) = 18 -6 = -108

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 00 9 3 -5 -37 -34-32 21 42 27 3 A = B = 1785 0-2 6-7 0031 0001 det(A)= k-det(B) = 18 -6 = -108

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 A = B = 009 3 -5 -37 -34 -32 3 21 42 27 1785 0-2 6-7 0 0 3 1 0001 det(A) =k-det(B) = 18 -6 = -108
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 A = B = 009 3 -5 -37 -34 -32 3 21 42 27 1785 0-2 6-7 0 0 3 1 0001 det(A) =k-det(B) = 18 -6 = -108
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