Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A. 3 -4 0 -2 3 0 -8 0 0 0 1 3 -4 2 4 -5 1 -5 -3 -1 11 5 -2 1 5 -4 3) A = -3 2 -23 17 3 -4 A) {(1, 3, - 4, 0, 1), (2, 4, -5, 5), -2, (1, -5, 0, -3, 2), (-3, - 1, 8, 3, -4)} B) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17), (0, 0, 0, 0, 0)} C) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17)} D) {(1,0, 0, 0), (3, -2, 0, 0), (-4, 3, -8, 0)} B.
Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A. 3 -4 0 -2 3 0 -8 0 0 0 1 3 -4 2 4 -5 1 -5 -3 -1 11 5 -2 1 5 -4 3) A = -3 2 -23 17 3 -4 A) {(1, 3, - 4, 0, 1), (2, 4, -5, 5), -2, (1, -5, 0, -3, 2), (-3, - 1, 8, 3, -4)} B) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17), (0, 0, 0, 0, 0)} C) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17)} D) {(1,0, 0, 0), (3, -2, 0, 0), (-4, 3, -8, 0)} B.
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:Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A.
1 3 -4
11
5 -2
1
3 -4
0 -2
0 -8
0 0 0
2 4 -5
3
-4
3) A =
1 -5
B
2
-3
-23
17
-3 -1
8
3
-4
A) {(1, 3, - 4, 0, 1), (2, 4, -5, 5), -2, (1, -5, 0, -3, 2), (-3, - 1, 8, 3, - 4)}
B) {(1, 3, - 4, 0, 1), (0, - 2, 3, 5, -4), (0, 0, -8, -23, 17), (0, 0, 0, 0, 0)}
C) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17)}
D) {(1, 0, 0, 0), (3, -2, 0, 0), (-4, 3, -8, 0)}
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