Enter the 4 values of your 2×2 matrix into the calculator. The calculator will evaluate and display the matrix determinant.

Matrix Determinant Calcualtor

The following formula is used to calculate the determinant of a 2×2 matrix.

Given the matrix in the form:


The determinant can be calculated using the following:


  • Where a,b,c,d are the values of the matrix

Example Problem

  1. Let’s assume we are given a matrix of size 2×2 with values of 4,5,6,7 for A, B, C, and D respectively.
  2. To calculate the determinant, first, we should confirm the values of the matrix with the table above. For example, make sure that the value for A is in the top left-hand corner of the matrix.
  3. Next, we input the values into the formula a*d-b*c = 4*7-5*6 = -2.
  4. Use, the resulting determinant to help solve your application.


What is a matrix determinant?

A matrix determinant is a measure of the “magnitude” of a matrix of values. This magnitude is used to calculate the values in systems of linear equations.

What does a matrix determinant tell you?

A matrix determinant is a single value that is often related to the area or volume of a region. The value shows how much the specific matrix will scale or reflect objects in a linear transformation.

What are matrices used for?

Matrices are used in many fields of mathematics and physics. Some more commonly known uses are those in the application of electricity.

matrix determinant calculator
matrix determinant formula