Prove that S E A(V) is regular if and only if whenever v1, ••• , vn E V are linearly independent, then v1 S, v2S, … , vnS are also linearly independent
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Prove that S E A(V) is regular if and only if whenever v1, ••• , vn E V are linearly independent, then v1 S, v2S, … , vnS are also linearly independent