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Documentation / Mathematica / Built-in Functions / Numerical Computation / Matrix Operations /

Inverse

FilledSmallSquare Inverse[m] gives the inverse of a square matrix m.

FilledSmallSquare Inverse works on both symbolic and numerical matrices.

FilledSmallSquare For matrices with approximate real or complex numbers, the inverse is generated to the maximum possible precision given the input. A warning is given for ill-conditioned matrices.

FilledSmallSquare Inverse[m, Modulus->n] evaluates the inverse modulo n.

FilledSmallSquare Inverse[m, ZeroTest -> test] evaluates test[ m[[i, j]] ] to determine whether matrix elements are zero. The default setting is ZeroTest -> (# == 0 &).

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

FilledSmallSquare See Section 1.8.3 and Section 3.7.6.

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

FilledSmallSquare See also: PseudoInverse, LinearSolve, RowReduce, NullSpace, LinearSolveFunction.

FilledSmallSquare Related package: LinearAlgebra`Tridiagonal`.

FilledSmallSquare New in Version 1; modified in 3.

Further Examples