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.© BrainMass Inc. brainmass.com March 4, 2021, 5:48 pm ad1c9bdddf
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 ...
A matrix proof is provided in the solution.