Question: How would you solve this problem? Please answer it in a way where even the most clueless person could understand the answer. Suppose V and

How would you solve this problem? Please answer it in a way where even the most clueless person could understand the answer.

Suppose V and W are nite-dimensional and T e (V, W). Prove that there exist a basis of V and a basis of W such that with respect to these bases, all entries of MO") are 0 except that the entries in row j, column j , equal 1 for 1 5 j 5 dim range T

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