\(\(\ \)\(\({\ {1, \ 3, \ 0, \ 
          3}, 
\ \ \ \ \ \ \ \ {\(-1\), \ \(-1\), \ \(-1\), \ 
          1}, 
\ \ \ \ \ \ \ \ {0, \ \(-4\), \ 
          2, \ \(-8\)}, \ 
\ \ \ \ \ \ \ \ {2, \ 0, \ 
          3, \ \(-1\)}\ }\)\(
\)
      \)\)

{{1, 3, 0, 3}, {-1, -1, -1, 1}, {0, -4, 2, -8}, {2, 
        0, 3, -1}}

MatrixForm[{{1, 3, 0, 3}, {-1, -1, -1, 1}, {0, -4, 
          2, -8}, {2, 0, 3, -1}}]

MatrixForm[
      RowReduce[{{1, 3, 0, 3}, {-1, -1, -1, 1}, {0, -4, 
            2, -8}, {2, 0, 3, -1}}]
]

MatrixForm[
      RowReduce[{{1, 3, 0, 3, b1}, {-1, -1, -1, 1, 
            b2}, {0, -4, 2, -8, b3}, {2, 0, 3, -1, 
            b4}}]
]