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)}

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...
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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)}
Transcribed Image Text: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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