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BUILT-IN MATHEMATICA SYMBOL
RowReduce
RowReduce[m]
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
to determine whether matrix elements are zero. - Possible settings for the Method option include
, 
, and 
. The default setting of Automatic switches among these methods depending on the matrix given.
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