**adjoint of a matrix**which can be easily performed on a 2-by-2 matrix; however, it is difficult for matrices having a size greater or equal to 3. This operation can be easily and effectively performed on MATLAB for any square matrix having any large or small size because of the built-in

**adjoint()**function.

This tutorial is going to discover how to determine the **adjoint of a matrix **in MATLAB.

## Why Should We Need to Find an Adjoint of a Matrix

Finding the **adjoint of a matrix** is necessary especially when you:

- Find the Inverse of a Matrix
- Solve a System of Linear Equations
- Encrypt Message Codes
- Trace User Data

## How to Find Adjoint of a Matrix in MATLAB

In MATLAB, we can easily find the **adjoint of a matrix** using the built-in **adjoint()** function. This function is responsible for finding the adjoint of the given square matrix since it accepts a square matrix as an input and returns the computed **adjoint of a matrix** as an output.

**Syntax**

The **adjoint()** function can be used in MATLAB through the following syntax:

Here,

The function **adjoint(A)** is responsible for calculating the adjoint of a given matrix A such that the computed adjoint matrix X satisfies the given equation.

Where **n** represents the rows of the given matrix A.

## Example 1: How to Determine the Adjoint of a Matrix in MATLAB?

This MATLAB code computes the adjoint of the given square matrix having size **n=5** created by the **magic()** function using the **adjoint()** function.

X = adjoint(A)

## Example 2: How to Compute Adjoint of a Symbolic Matrix in MATLAB?

In this example, we use the **adjoint()** function to find the adjoint of the given symbolic matrix in MATLAB.

A = sym([1 a 2; b c d;e 0 f]);

X = adjoint(A)

## Conclusion

Manually computing the **adjoint of a matrix** having size n = 3 or above is a difficult and time-consuming task. However, with MATLAB it can easily be done within seconds due to the built-in **adjoint()** function that allows you to calculate the adjoint of any square matrix. This guide has provided the importance of finding the adjoint of a matrix, and the use of **adjoint()** function with examples in MATLAB.