Matrix Inverse Calculator



Matrix A

Load Example




Please wait.. loading-icon

Introduction to the Matrix Inverse Calculator with steps

The inverse matrix calculator is used to calculate the inverse of a matrix. It uses the Gaussian Elimination method to change the identity matrix into the inverse matrix. It is helpful to find the inverse of higher-order matrices. It multiplies the given matrix with its inverse to form a multiplicative identity.

In mathematics, the matrix concept is used to evaluate many problems to find unique solutions. Some mathematical operations are applied on matrices, but as the matrix order increases, the chances of mistakes increases. So that’s why we are introducing inverse calculator matrix that can calculate inverses rapidly.

Formula used by Inverse of a Matrix Calculator with Steps

The inverse tool uses two formulas to calculate the inverse of a 2x2, 3x3 and 4x4 matrix equation. These formulas are:

  1. The inverse formula of a matrix A is:
  2. $$ A^{-1} \;=\; \frac{Adj\; A}{A} $$


    |A| = is the modulus of A.

    Adj A = is the adjoint of A.

  3. The Gaussian Elimination method is used to find the inverse of a higher-order matrix. The given matrix is reduced to the identity matrix and the same operations are applied on the identity matrix. The resulting matrix will be the inverse matrix.

How to Find the Inverse of a Matrix?

You can easily calculate the inverse of any matrix equation with the use of this free matrix inverse calculator. Follow these steps to use this tool:

  1. In the first step, you need to enter the number of rows and columns of the matrix.
  2. Now enter all of the entries of matrix A.
  3. Or you can use the random option to calculate to select a random example.
  4. Click on the calculate button to start calculating the inverse matrix.

You will get the inverse within a few seconds after clicking on the calculate button.

Why use the Inverse Matrix Calculator with Steps?

Using a math tool to solve mathematics problems is smarter than solving manually. Many tools are available online that can help you. The matrix calculator is one of these tools. It gives a detailed solution to any problem related to matrix inverse.

In mathematics, when computing the inverse of a matrix, you have to use the reduced echelon form of the matrix. The reduced echelon method is tricky and lengthy. You can get stuck in the middle because of its time taking procedure. Thus it would help if you used an inverse matrix solver.

Benefits of using Matrix Inverse 4x4 Calculator

There is a lot of application of matrix inverse in mathematics and other fields of science to find inverses of 2x2, 3x3 and 4x4 matrices. The inverse matrix tool can be helpful in these applications because of its accurate solutions. There are some benefits of using this tool; these are:

  1. It gives results faster to save your time.
  2. It provides a random selection button that can be helpful for you to practice with random examples.
  3. You can use matrix inverse calculator to solve many problems regarding mathematics and science.
  4. It provides a step-by-step solution and explains every single step. It means that it may be helpful for students to understand the concept.
  5. Inverse matrix calculator is a free online tool; you need not pay any fee.
  6. This tool is reliable because it gives you accurate solutions.

Other Related Tools

Alan Walker

Hamza Haroon

Last Updated April 05, 2022

I am a Content writer & Content Creator. I like writing content on different topics. Besides writing, I am an SEO-ASO-SMM specialist and Football Lover.