Question: How to solve this Problem: Suppose that V and W are finite dimensional vector spaces. Suppose that T->W is a linear transformation. Show that the

How to solve this Problem: Suppose that V and W are finite dimensional vector spaces. Suppose that T->W is a linear transformation. Show that the kernel of T, denoted ker(T) and the image of T, denoted im(T), are vector subspace of V and W respectively.

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