Let A and E be in Mnxn (F), with E an elementary matrix. In Section 3.1, it was shown

Chapter 6, Problem 21

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Let A and E be in Mnxn (F), with E an elementary matrix. In Section 3.1, it was shown that AE can be obtained from A by means of an elementary column operation. Prove that EtA can be obtained by means of the same elementary operation performed on the rows rather than on the columns of A. Hint: Note that ElA = (AtE)t .

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