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RowReduce

RowReduce[m]
gives the row-reduced form of the matrix m.
  • 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 sufficiently non-degenerate rectangular matrix with k rows and more than k columns, then the first k columns of RowReduce[m] will form an identity matrix.  »
  • RowReduce works on both numerical and symbolic matrices.
  • The following options can be given:
MethodAutomaticmethod to use
Modulus0integer modulus to use
ToleranceAutomaticnumerical tolerance to use
ZeroTestAutomaticfunction to test whether matrix elements should be considered to be zero
  • RowReduce[m, ZeroTest->test] evaluates test[m[[i, j]]] to determine whether matrix elements are zero.
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