We have that AX Bis a matrix representation of a system of linear equations. On the augmented matrix (A | B), 5 elementary operations are carried out sequentially on its rows until reaching the matrix...

Extracted text: We have that AX Bis a matrix representation of a system of linear equations. On the augmented matrix (A | B), 5 elementary operations are carried out sequentially on its rows until reaching the matrix (A|B ), such that A'is a row reduced echelon matrix and, specifically 1 2 0 9-G 10 0 0 0 With certainty it can be ensured that: a) A solution of the system AX= B is the (5-2 15 20) b) A solution of the system AX = B is the matrix (7 -2 15 10| c) The system AX B has no solutions (it is inconsistent) d) The only solution of the system AX Bis the matrix (9-3 15-10)