Question: 4. Assuming T is a linear operator on a vector space V and V. consists of all vectors v E V such that T(v) =

4. Assuming T is a linear operator on a vector space V and V. consists of all vectors v E V such that T(v) = Av, where A is a scalar, prove that V. is a vector subspace of V.5. Prove that the dot product is linear in its first argument

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