Question: Suppose that V and W are finite dimensional vector space. Prove the following: 1. There exists an injective linear transformation T : V > W

Suppose that V and W are finite dimensional vector space. Prove the following: 1. There exists an injective linear transformation T : V > W if and only if dim(W) Z dim(V). 2. There exists a surjective linear transformation T : V > W if and only if dim(W) S dim(V)

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