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Inverse

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

MORE INFORMATION

Inverse works on both symbolic and numerical matrices.

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.

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

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

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

Basic Examples (3)

Inverse of a 2×2 matrix:

Enter the matrix in a grid:

Inverse of a symbolic matrix:

Applications (3)

Properties & Relations (1)

Possible Issues (3)

PseudoInverse LinearSolve RowReduce NullSpace LinearSolveFunction MatrixRank

Vectors and Matrices

Matrix Inversion

Implementation notes: Numerical and Related Functions

Linear Systems

Matrices and Linear Algebra

Matrix Operations

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