NullSpace

Usage

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

Notes

• 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.

• Advanced Documentation.

Further Examples