MATLAB is a programming language and environment that is used for mathematical computing. It is a powerful tool that can be used to perform a wide variety of mathematical operations. Among those operations, calculating the **determinant of a matrix** is a fundamental operation that is used in many other mathematical operations. The **determinant of a matrix** is a number that can be used to determine the properties of the matrix. Follow this guide to learn about finding determinant of matrix in MATLAB.

## What is Determinant of the Matrix?

The **determinant of a matrix** is a number used to determine the properties of the matrix and that number is a scalar value calculated for any square matrix. The** determinant of a matrix** can be used to **determine if the matrix** is invertible, however, it is widely used to solve systems of linear equations.

## Why Is it Important to Find the Determinant of Matrix?

The **determinant of matrix** is a useful way for solving systems of linear equations, differential equations, linear algebra and other areas of mathematics.

## How to Find the Determinant of a Matrix in MATLAB?

MATLAB includes a built-in function det() that makes it possible to find the **determinant of a matrix.** You only have to pass the matrix as an argument inside the det() function and you will get the desired result, which is the** determinant of the provided matrix.**

## Syntax

In MATLAB, the det() function can be written as follows:

Where A is the matrix passed as an argument through the det() function.

## Return Value

The return value of the det() function is the integer value, which is actually the **determinant of the matrix.**

## Examples

Let’s consider some examples that will help you find the **determinant** of the matrix in **MATLAB**.

## Example 1: How to Find the Determinant of Matrix in MATLAB for Solving Linear Equation?

Let’s consider a simple example that includes two matrices and we will use the det() function to find the **determinant of a matrix in MATLAB.**

detA = det(A)

## Example 2: How to Find the Determinant of Complex Matrix in MATLAB?

Let’s consider another example where we find the **determinant of a complex matrix** in MATLAB using the det() function.

det(A)

## Conclusion

Finding the **determinant of a matrix in MATLAB** can easily be done using the built-in MATLAB function called det() which takes the matrix as an argument and returns the **determinant** as an output. This tutorial has provided a complete detail of what **determinant** is and how you can find it easily in your MATLAB codes using the det() function. The examples provided showcase the working of this function in quickly calculating the **determinant** of a matrix in MATLAB.