the row space and for the column space of that matrix. [1 3 0. 0 0 LO 0 0 1 1 1 6. 4. A = 1 -3 Enter a basis for the row space below. If less than four vectors are needed enter zero vectors at the end as appropriate. ri=|( ? ? ?) r2= ( ? ? ? ? ) r3 = ( ? ? ? ?) r4 = ? ? ? ?) Enter the basis for the column space below. If less than four vectors are needed enter zero vectors at the end as appropriate. ? C2 = C3 C4 = 261

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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Question
A matrix in row echelon form is given. By inspection, find a basis for
the row space and for the column space of that matrix.
[1 3 1
0.
6
4
A =
0 0
LO 0 0
-3
1
Enter a basis for the row space below. If less than four vectors are
needed enter zero vectors at the end as appropriate.
? ? ? ?)
r2 = ( ? ? ? ?)
r3 = ( ? ? ? ? )
r4 =( ? ? ? ? )
Enter the basis for the column space below. If less than four
vectors are needed enter zero vectors at the end as appropriate.
Cj =
C2
C3
C4
Transcribed Image Text:A matrix in row echelon form is given. By inspection, find a basis for the row space and for the column space of that matrix. [1 3 1 0. 6 4 A = 0 0 LO 0 0 -3 1 Enter a basis for the row space below. If less than four vectors are needed enter zero vectors at the end as appropriate. ? ? ? ?) r2 = ( ? ? ? ?) r3 = ( ? ? ? ? ) r4 =( ? ? ? ? ) Enter the basis for the column space below. If less than four vectors are needed enter zero vectors at the end as appropriate. Cj = C2 C3 C4
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