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.

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.

## FAQ

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.