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 The Mathematica Book: Section 3.7.8.

See also: LinearSolve, RowReduce, SingularValues.

Further Examples