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.

Matrix dimension: 

About the method

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

  1. Set the matrix (must be square) and append the identity matrix of the same dimension to it.
  2. Reduce the left matrix to row echelon form using elementary row operations for the whole matrix (including the right one).
  3. As a result you will get the inverse calculated on the right.
  4. 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.

Matrix input