(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If [itex]ℝ^{n}=span(X_{1},X_{2},...,X_{k})[/itex] and A is a nonzero m x n matrix, show that [itex]AX_{i}≠0[/itex] for some i.

2. Relevant equations

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3. The attempt at a solution

Hey guys, I'm way over my head here. I really don't know how to approach this problem. I would really appreciate it if someone could give a nudge in the right direction as to where to start.

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# Linear Algebra Proof (vector spaces and spans)

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