Find a matrix A such that the given set W of vectors is the column space Col(A). -r + 3t 2r2s + t 3r+2s 3t -3r+ 3s W O O O A = A = A = || A = 1 3 0 - 1 0 3 -2 2 2 3 3 2 3 -3 3 -3 3 1 -3 0 -1 -2 2 2 -3 33 3 -1 0 2 -3] 0 -2 2 0 3 1 -3 3 -2 1 2 -3 3 0 : r, s, tER

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 80E
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Find a matrix A such that the given set W of vectors is the column space Col(A).
-r+ 3t
2r2s + t
3r+2s 3t
-3r+ 3s
W =
O
O
O
A =
A
A =
A =
[-1 0
1
3 2
0 3
To w No I
-2
-3 3
-3
3
1
-3
[-1
0 -1 3
-2 2 1
2
0
N NO
2 -2
3
-3
323
3 -3
3
0
2
من
3
ONO
-2
3
1
-3
0
: 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 2r2s + t 3r+2s 3t -3r+ 3s W = O O O A = A A = A = [-1 0 1 3 2 0 3 To w No I -2 -3 3 -3 3 1 -3 [-1 0 -1 3 -2 2 1 2 0 N NO 2 -2 3 -3 323 3 -3 3 0 2 من 3 ONO -2 3 1 -3 0 : r, s, tER
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