Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A.1 3 -4115 -213 -40 -20 -80 0 02 4 -53-43) A =1 -5B2-3-2317-3 -183-4A) {(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)}

Row space of matrix: Let A be a m x n matrix. The space spanned by the rows of A is called row space…

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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Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

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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