gives the row‐reduced form of the matrix m.
Details and Options
- 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.
- The following options can be given:
Method Automatic method to use Modulus 0 integer modulus to use Tolerance Automatic numerical tolerance to use ZeroTest Automatic function to test whether matrix elements should be considered to be zero
- 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.
- Possible settings for the Method option include "CofactorExpansion", "DivisionFreeRowReduction", and "OneStepRowReduction". The default setting of Automatic switches among these methods depending on the matrix given.
Introduced in 1988Updated in 1996