eigenvalues for matrix contents of terms

how I find eigenvalues for matrix contents of terms as x y z in matlab

Answer 1

[Vedant Shah]

Hi @Zaynab Ayham,

To create a matrix of variables like x, y and z, the “syms” function can be used. It is utilized to create symbolic scalar variables and functions. For more information about the “syms” function, you can refer to the following documentation:

https://in.mathworks.com/help/releases/R2021b/symbolic/syms.html

Now, we can create a matrix with all the variables defined using “syms”, and then, to compute their eigenvalues, we can use “eig” function. The documentation for the “eig” function can be found as below:

https://in.mathworks.com/help/releases/R2021b/matlab/ref/eig.html

You can refer to the following sample code for better understanding.

% Define the variables 
syms x y z 

% Define the symbolic matrix 
A = [x, y, z; 
    y, z, x; 
    z, x, y]; 

% Compute the eigenvalues 
eigenvalues = eig(A); 

% Display the eigenvalues 
disp('Eigenvalues of the matrix:'); 
disp(eigenvalues); 

This will provide the output as below: