NullSpace

NullSpace[m] gives a list of vectors that forms a basis for the null space of the matrix m.

NullSpace works on both numerical and symbolic matrices.

NullSpace[m, Modulus->n] finds null spaces for integer matrices modulo n.

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

A Method option can also be given. Possible settings are as for LinearSolve.

See Section 3.7.8.

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

See also: MatrixRank, LinearSolve, RowReduce, SingularValueList.

New in Version 1; modified in 3.

Further Examples