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csc2iffy
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Homework Statement
Let U be the subspace of R5 spanned by the vectors
E={(1,1,0,0,1),(1,1,0,1,1),(0,1,1,1,1),(2,1,-1,0,1)}.
Find a linearly independent subset F of E with Span(E)=U
Homework Equations
The Attempt at a Solution
I figured out that E is linearly dependent and that the solution set to it is
c1=-t, c2=-t, c3=t, c4=t
I'm not sure how to figure out which vectors are linear combos of the each other??
I'm assuming that once I find the linearly dependent one(s), then the remaining vectors will be linearly independent. Will this be F?