RowReduce
RowReduce[m] gives the row-reduced form of the matrix m.
Example: RowReduce[
3, 1, a
, 
2, 1, b
]
.
RowReduce performs a version of Gaussian elimination, adding multiples of rows together so as to produce zero elements when possible. The final matrix is in reduced row echelon form.
If m is a non-degenerate square matrix, RowReduce[m] is IdentityMatrix[Length[m]].
If m is a sufficiently non-degenerate rectangular matrix with 
rows and more than 
columns, then the first 
columns of RowReduce[m] will form an identity matrix.
RowReduce works on both numerical and symbolic matrices.
RowReduce[m, Modulus -> n] performs row reduction modulo n.
See The Mathematica Book on the web: Section 3.7.8.
Implementation Notes: see Section A.9.4.
See also: LinearSolve, Inverse, NullSpace.
Further Examples
