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. 2-3 1 -4 -26 -9 2 0 -3 9 -3 -4 12 -24 40 A =
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. 2-3 1 -4 -26 -9 2 0 -3 9 -3 -4 12 -24 40 A =
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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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.
2 -3 1 -4
-2 6 -9 2
0 -3 9 -3
-4 12 -24 40
A =
000
B=000
000
det(A) = k·det(B)
= 0.0
= 0
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