Online calculator: Inverse matrix calculator

The calculator below computes inverse matrix via adjugate matrix. Some theory and formulas can found under the calculator.

Inverse of a matrix

Source matrix

Calculation precision

Digits after the decimal point: 2

Inverse of a matrix

The inverse of a square matrix A, sometimes called a reciprocal matrix, is a matrix $A^{-1}$ such that
$AA^{-1} = A^{-1}A = I$

This calculator uses adjugate matrix to compute matrix inverse like
$A^{-1} = \frac{1}{\det A}\cdot C^*$

Adjugate matrix is the transpose of the cofactor matrix of A.
${C}^{*}= \begin{pmatrix} {A}_{11} & {A}_{21} & \cdots & {A}_{n1} \\ {A}_{12} & {A}_{22} & \cdots & {A}_{n2} \\ \vdots & \vdots & \ddots & \vdots \\ {A}_{1n} & {A}_{2n} & \cdots & {A}_{nn} \\ \end{pmatrix}$