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. -8 -2 -6 -7 0 10 -9 4 A = 0 0 0-10 7 10 41 -39 000 B=000 000 det(A)=k-det(B) = 0.0 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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.
-8 -2 -6 -7
0 10 -9 4
0
A =
0
0 -10 7
10 41 -39
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. -8 -2 -6 -7 0 10 -9 4 0 A = 0 0 -10 7 10 41 -39 000 B=000 000 det(A) k-det(B) = 0.0 0
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