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. A = 7 3 -10 10 0 -10 10 -1 0 2017-1 7 3 -19 29 000 B- 0 0 0 = 000 det(A) k-det(B) = 0.0 = 0 One possible correct answer is: [7 3 10 10 10 -1 3 -3 00 0 10 B = 0-10 0 0 det(A) = k-det(B) = 1.-2100 = -2100

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please explain the answers with as much detail as possible. For the most part, I understand how the matrix was reduced. However, the confusion comes from the mathematical parts involving the multiplication and combining of each of the 4 created matrices as a result of the reduced 4X4 matrix. Thanks in advance! 

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.
A
=
7 3 -10 10
0 -10 10 -1
0 20 17 −1
7
3
-19 29
000
B=000
000
det(A) = k-det(B)
= 0.0
B
=
=
0
One possible correct answer is:
7 3 10 10
0-10 10 -1
00 3 -3
000 10
det(A) = k·det(B)
= 1.- 2100
= -2100
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. A = 7 3 -10 10 0 -10 10 -1 0 20 17 −1 7 3 -19 29 000 B=000 000 det(A) = k-det(B) = 0.0 B = = 0 One possible correct answer is: 7 3 10 10 0-10 10 -1 00 3 -3 000 10 det(A) = k·det(B) = 1.- 2100 = -2100
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