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    Matrix Proof : Row Equivalence

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    2. Write a matrix algebra proof for the following statement: Let A and B be nxm matrices. If A is row equivalent to B, then B is row equivalent to A. Show work.

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    Solution Preview

    We say that the matrices A and C are row-equivalent if one can be obtained from the other by a succession of operations of the following kinds:

    1-interchanging two rows;

    2-multiplying a row by a non-zero constant;

    3-replacing a row by the sum of it and (a non-zero multiple of) another ...

    Solution Summary

    A matrix proof is provided in the solution.