Question: Suppose that U = span {X1, X2,Xk} where each Xi is in Rn. If A is an m n matrix and AXi = 0

Suppose that U = span {X1, X2,Xk} where each Xi is in Rn. If A is an m × n matrix and AXi = 0 for each i, show that AY=0 for every vector Y in U.

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