Question: Lel A be a n x n matrix and / : R + R denole the linear transform /(x) = Ar. Show that if /

Lel A be a n x n matrix and / : R" + R" denole the linear transform /(x) = Ar. Show that if / is one-lo-one (injective) if and only if / is onlo (surjective). Is this also true for a nonlinear transform (: R" - R"? Give a simple counter example

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