Question: Let f: Rn Rm be a matrix transformation defined by f(u) = Au, where A is an m x n matrix. Show that if u

Let f: Rn Rm be a matrix transformation defined by f(u) = Au, where A is an m x n matrix. Show that if u and v are vectors in Rn such that f(u) = 0 and f(v) = 0, where

Then f(cu + dv) = 0 for any real numbers c and d.

0= .0,

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