Find a matrix A such that the given set W of vectors is the column space Col(A). -r+ 3t W = O O O A = A = A = 2s + t 3r+2s - 3t -3r + 3s 2r -1 0 3 -2 1 do co to - -3 3 -2 2 -3 0 -1 -1 2 3 -3 723 2 -3 3 T 3 o 0] 3 0 1-2 -3 2 3 0 : r, s, te R

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find a matrix A such that the given set W of vectors is the column space Col(A).
-r+ 3t
W =
O
O
O
O
A =
A=
A =
A=
2s + t
3r+2s - 3t
-3r + 3s
2r
-1 0 3
-2
2
-3 3
T~~
من
---
0 -1 3
-2
2 1
2
3
3
-1
2
3
3
3
1
-3
co
-1 0
1
-3
0
-2
0
3
2
2 3
3
3
-3
0
0
-2
2
0
-3
: r, s, tER
Transcribed Image Text:Find a matrix A such that the given set W of vectors is the column space Col(A). -r+ 3t W = O O O O A = A= A = A= 2s + t 3r+2s - 3t -3r + 3s 2r -1 0 3 -2 2 -3 3 T~~ من --- 0 -1 3 -2 2 1 2 3 3 -1 2 3 3 3 1 -3 co -1 0 1 -3 0 -2 0 3 2 2 3 3 3 -3 0 0 -2 2 0 -3 : r, s, tER
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