I am having extreme difficulty with learning how to doproofs. Write the matrix a

ID: 2938472 • Letter: I

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I am having extreme difficulty with learning how to doproofs. Write the matrix algebra proof of the followingstatement Let A and B be nxn matrices. If A is row equivalent toB, then B is row equivalent to A. Any suggestions on how to do this would be helpful. I am having extreme difficulty with learning how to doproofs. Write the matrix algebra proof of the followingstatement Let A and B be nxn matrices. If A is row equivalent toB, then B is row equivalent to A. Any suggestions on how to do this would be helpful.

Explanation / Answer

Use that fact that doing a row operation on a matrix is equivalentto multiplying it on the left by an elementary matrix. So, asequence of left-multiplications takes you from A to B. Now,use the fact that elementary matrices are invertible, and that theinverse of an elementary matrix is itself an elementary matrix.

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I am having extreme difficulty with learning how to doproofs. Write the matrix a

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