- #1
JamesGoh
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Homework Statement
Obtain the column space of the following matrix
B = 2 -3 -1
2 -3 -1
-3 3 2
Homework Equations
Linear independence test
c1V1 + c2V2 + ... + cnVn = 0
c1=c2=...cn=0
The Attempt at a Solution
Please see attachment
I cannot get the answer which is CS(B) = span{ (2,2,-3)^T, (1,1,-1)^T } where T denotes transpose
The (1,1,-1)^T can be realized by adding a(2,2,-3)^T and c(-1,-1,2)^T together (where a=c) and setting a=1
but the problem is that it destroys the linear independence of (1,1,-1)^T since it depends on (2,2,-3)^T to generate the result