Enter the 4 values of a 2 x 2 matrix into the calculator. The calculator will evaluate and display the inverse of that matrix.

Inverse Matrix Formula

The following formula is used to calculate the inverse matrix value of the original 2×2 matrix.

First, the original matrix should be in the form below.

 A=[a b; c d],
1/(ad-bc)[d -b; -c a].

In this case, (ad-bc) is also known as the magnitude of the original matrix.

Inverse Matrix Definition

An inverse matrix is the reciprocal of a given matrix of a fixed number of rows and columns.

Inverse Matrix Example

How to calculate the inverse matrix?

  1. First, set up your original 2×2 matrix

    This should follow the form shown above, with a,b,c, and d being the variables.

  2. Next, calculate the magnitude

    Calculate the magnitude of the first matrix use the formula a*d-b*c.

  3. Finally, calculate the inverse matrix

    Calculate the inverse matrix using the magnitude and the formula above.


What is a matrix?

A matrix is a mathematical collection of values in a fixed number of rows and columns.

What is a matrix used for?

A matrix has many purposes, but it’s main use is for solving linear systems of equations.

inverse matrix calculator