This is an Advanced Linear Algebra Question. Please answer only if your answer is fully sure,…

This is an Advanced Linear Algebra Question.
Please answer only if your answer is fully sure,
Otherwise please don’t answer the question leave it for a
capable personal.
Please write your writing clearly so it is readable.
Prob 6. Suppose V is a nonzero finite-dimensional vector space and W is infinite-dimensional. Prove that L(V. W) is infinite-dimensional.