Reduced Row Echelon Forms

Initialization

Off[General::spell1]

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3x6 Matrix

Here is a 3x6 matrix A:

A = {{0, 3, -6, 6, 
            4, -5}, 
   {3, -7, 8, -5, 8, 
            9}, 
   {3, -9, 12, -9, 6, 
            15}};
MatrixForm[A]

This matrix is the unique matrix in row reduced echelon form that is row equivalent to A.

B = RowReduce[A];
MatrixForm[B]