Question: I need help with this question: Prove that any elementary row operation of type 1 (interchanging any two rows of A) can be obtained by

I need help with this question:

Prove that any elementary row operation of type 1 (interchanging any two rows of A) can be obtained by a succession of three elementary row operations of type 3 (adding any scalar multiple of a row of A to another row) followed by one elementary row operation of type 2 (multiplying any row of A by a nonzero scalar).

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