MatrixRank

MatrixRank[m] gives the rank of the matrix m.

MatrixRank works on both numerical and symbolic matrices.

The rank of a matrix is the number of linearly independent rows or columns.

MatrixRank[m, Modulus->n] finds the rank for integer matrices modulo n.

MatrixRank[m, ZeroTest -> test] evaluates test[ m[[i, j]] ] to determine whether matrix elements are zero. The default setting is ZeroTest -> Automatic.

MatrixRank[m, Tolerance -> t] gives the minimum rank with each element in a numerical matrix assumed to be correct only to within tolerance t.

See Section 3.7.8.

Implementation Notes: see Section A.9.4 and Section A.9.5.

See also: NullSpace, Det, Eigensystem, RowReduce, SingularValueList.

New in Version 5.0.

Further Examples