Question: 3. Let A be an m X n matrix, B be an m x 1' matrix, and let EA denote the RREF of A. Note

3. Let A be an m X n matrix, B be an m x 1' matrix, and let EA denote the RREF of A. Note that A and B have the same number of rows. (a) What is the RREF of the matrix (A|B)? Prove your answer. (b) What conditions (in terms of rank) on A and (A|B) guarantee that the matrix equation AX = B is consistent? Explain. (c) How would you use your answer in part (3a) to solve AX = B

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