Question: (2) In men(F) we write Eij to denote the matrix with a 1 in the ith row and jth column entry and 0's everywhere else.

(2) In men(F) we write Eij to denote the matrix with a 1 in the ith row and jth column entry and 0's everywhere else. Prove that B = {E17 | 1 g i S m, 1 s j s n} is a basis for men(F). (It is called the standard basis for men(F) and the matrices E\" are called elementary matrices.)

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