MATH 217 Study Guide - Quiz Guide: Linear Map, Cross Product
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Complete all work on this page, including the back, if needed. Let f : r3 r2 be a linear transformation such that. Find a matrix a such that f ((cid:126)x) = a (cid:126)x for all (cid:126)x r3. Let v = rn and w = rm and let f : v w be a linear transformation. Prove that f ((cid:126)0) = (cid:126)0. (you may only use the two properties of linear transformations. If you want to use that there exists a matrix a corresponding to f , you must rst prove this fact. )
