Let 2 3 0 A = 0 -1 4 0 5 Assume that B, C and D are 3 × 3 matrices such that B is obtained from A , C is obtained from B and D is obtained from C via elementary row operations as follows: A RỊ + R2 B 2R¡ → R1 C 4R3+R2 → R2 D, where R; denotes the i-th row of a matrix. Find det(D). Select one: 20 40 10 -20 -10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let
2
3 0
A =
0 -1
4
0 5
Assume that B, C and D are 3 x 3 matrices such that B is obtained from A, C is obtained from B
and D is obtained from C via elementary row operations as follows:
A R + R2
В 2R > R С 4Rg + Rz — R, D,
where R; denotes the i-th row of a matrix.
Find det(D).
Select one:
20
40
10
-20
-10
Transcribed Image Text:Let 2 3 0 A = 0 -1 4 0 5 Assume that B, C and D are 3 x 3 matrices such that B is obtained from A, C is obtained from B and D is obtained from C via elementary row operations as follows: A R + R2 В 2R > R С 4Rg + Rz — R, D, where R; denotes the i-th row of a matrix. Find det(D). Select one: 20 40 10 -20 -10
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