Question

3 Let V and W be finite-dimensional vector spaces and T : V → W be a linear map. Let Vobe a subspace of V. Prove that T(V) is a subspace of W, where T(V) is the range of Vo,i.e., T\left(V_{0}\right):=\left\{w \in W: \exists v \in V_{0} \text { such that } T(v)=w\right\}

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