RowReduce
RowReduce[m] gives the row-reduced form of the matrix m.
Examples
Row reduce a matrix:
RowReduce[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
(* {{1, 0, -1}, {0, 1, 2}, {0, 0, 0}} *)Full rank matrix:
RowReduce[{{1, 2}, {3, 4}}]
(* {{1, 0}, {0, 1}} *)Please visit the official Wolfram Language Reference for more details.