inverse

Matrix inversion function.

Syntax

inverse(mat_expr)

Argument

mat_expr
A valid square matrix expression.

Example

Templex Expression Result
{inverse( { {1, 2}, {2, 1} } )} {-0.3333, 0.6667}, {0.6667, -0.3333}

Comments

The inverse function returns the inverse of a square matrix. The inverse of a matrix is a matrix, that when multiplied by the original, produces the identity matrix. That is:

AB = BA = I

where A is a square matrix, B is the inverse of A, and I is the identity matrix.

If the matrix is invertible, the result is a matrix which is the inverse of mat_expr. The result will have the same dimensions as mat_expr. If the matrix is singular, an error occurs.

The inverse matrix is computed by using the LU decomposition method.