The row echelon form of matrix A is given by:[1 2 1-5 310 0 1Lo o o 034Then a basis for the row space of A is:O {(1,0,0); (1,1,0)}O((1,2,1,-5,3); (0,0,1,3,4), (0,0,0,0,0)},None of theseO {(1,2,1, -5,3); (0,0,1,3,4)}

The given problem is to find the row space of the matrix A for the given reduced row echelon form of…

The row echelon form of matrix A is given by: 1 -5 31 0 1 Lo o o 0 [1 3 4 Then a basis for the row space of A is: {(1,0,0); (1,1,0)} {(1,2,1, -5,3); (0,0,1,3,4), (0,0,0,0,0)}, None of these O {(1,2,1, -5,3); (0,0,1,3,4)}

The row echelon form of matrix A is given by: 1 -5 31 0 1 Lo o o 0 [1 3 4 Then a basis for the row space of A is: {(1,0,0); (1,1,0)} {(1,2,1, -5,3); (0,0,1,3,4), (0,0,0,0,0)}, None of these O {(1,2,1, -5,3); (0,0,1,3,4)}

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.5: Systems Of Linear Equations In More Than Two Variables

Problem 5E

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Question

The row echelon form of matrix A is given by:
[1 2 1-5 31
0 0 1
Lo o o 0
3
4
Then a basis for the row space of A is:
O {(1,0,0); (1,1,0)}
O((1,2,1,-5,3); (0,0,1,3,4), (0,0,0,0,0)},
None of these
O {(1,2,1, -5,3); (0,0,1,3,4)}

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