Linear Algebra Proof: Show that if S is a set of vectors S= {w1, w2...wk}, where S is a subset of R, is linearly independent and another vector v in R which is NOT in the span of S, then the bigger set S'= S union {v} is still linearly independent.

Question

anonymous · Answer

lol i hated these proofs

basically prove that v is not a linear combination of S

roadjester · Answer

thanks for stating the obvious but yes, that's the general idea. It's a pain really.