find eigenvalues and eigen vectors of a 3x3 symbolic matrix in matlab

To find the eigenvalues and eigenvectors of a 3x3 symbolic matrix in Matlab, you can use the eig function. Here's an example:

main.m
% Create a symbolic matrix
syms a b c d e f g h i
A = [a b c; d e f; g h i];

% Find the eigenvalues and eigenvectors
[eigenvectors, eigenvalues] = eig(A);

% Display the eigenvalues
disp("Eigenvalues:");
disp(eigenvalues);

% Display the eigenvectors
disp("Eigenvectors:");
disp(eigenvectors);
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In this example, A is the symbolic 3x3 matrix. The eig function is used to compute the eigenvalues and eigenvectors of A. The resulting eigenvalues are stored in the variable eigenvalues, and the eigenvectors are stored in the variable eigenvectors. Finally, the eigenvalues and eigenvectors are displayed using the disp function.

Note that this code assumes you have the Symbolic Math Toolbox installed in Matlab.