The discussion focuses on determining a basis for the subspace V spanned by three column vectors: [0, 2, -1], [1, 1, 3/4], and [2, 5, 0]. The key method to find a basis involves placing these vectors into a matrix and calculating its reduced row echelon form (RREF). If the vectors are linearly independent, they form a basis; if they are linearly dependent, a subset will serve as the basis.
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dmitriylm said:Homework Statement
Let V be the subspace spanned by the following vectors:
[ 0]...[ 1 ]...[2]
[ 2]...[ 1 ]...[5]
[-1]...[3/4]...[0]
Determine a basis for V.
The Attempt at a Solution
I'm not quite sure how to start here. Would placing the vectors in a matrix and deriving its reduced echelon form give me a basis?
Mark44 said:Are these row vectors or column vectors?