# Inverse Matrix Calculator

Here you can calculate **inverse matrix** with complex numbers online for free with a very detailed solution. The inverse is calculated using Gauss-Jordan elimination.

Have questions? Read the instructions.

### About the method

To calculate inverse matrix you need to do the following steps.

- Set the matrix (must be square) and append the identity matrix of the same dimension to it.
- Reduce the left matrix to row echelon form using elementary row operations for the whole matrix (including the right one).
- As a result you will get the inverse calculated on the right.
- If a determinant of the main matrix is zero, inverse doesn't exist.

To understand inverse calculation better input any example, choose "very detailed solution" option and examine the solution.