RowReduce

• 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.

• RowReduce[m, ZeroTest -> test] evaluates test[ m[[i, j]] ] to determine whether matrix elements are zero.

• See Section 3.7.8.

• Implementation notes: see Section A.9.4.

• See also: LinearSolve, Inverse, NullSpace, GroebnerBasis.

• New in Version 1; modified in 3.

• Advanced Documentation.