We have that AX = B is a matrix representation of a system of linear equations. On the augmented matrix (A | B), 4 elementary operations are carried out sequentially on its rows until reaching the...

Extracted text: We have that AX = B is a matrix representation of a system of linear equations. On the augmented matrix (A | B), 4 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, 0. With certainty it can be ensured that: A solution of the system AX = B is the matrix (3 0-11 0 0 b) The only solution of the system AX = B is the matrix (1-1-11 1 0)T c) A solution of the system AX = B is the matrix (10-11 10) d) The AX B system has no solutions (it is inconsistent) a)