Find a Basis for R^4 Subspace Spanning S

[xsqueetzzz]

Find a basis for the subspace of R^4 spanned by, S={(6,-3,6,340, (3,-2,3,19), (8,3,-9,6), (-2,0,6,-5)

Not too sure where to start.

 

[Fredrik]

Start by figuring out if they're linearly independent. If they are, the subspace is 4-dimensional, and those vectors are a basis. If they're not, you can eliminate one and repeat the procedure with the ones you have left.