find eigenvectors of a matrix in matlab

To find the eigenvectors of a matrix in MATLAB, you can use the eig function. Here's the step-by-step process:

1. Define or input your matrix.
2. Use the eig function to compute the eigenvectors.
3. Extract the eigenvectors from the output of eig.

Here's an example code snippet that demonstrates this process:

main.m
% Step 1: Define or input your matrix
A = [1 2; 3 4];

% Step 2: Compute the eigenvectors
[eigenVectors, ~] = eig(A);

% Step 3: Extract the eigenvectors
v1 = eigenVectors(:, 1); % Eigenvector corresponding to the first eigenvalue
v2 = eigenVectors(:, 2); % Eigenvector corresponding to the second eigenvalue

% Display the computed eigenvectors
disp("Eigenvector 1:");
disp(v1);
disp("Eigenvector 2:");
disp(v2);
414 chars
16 lines

Running this code will display the computed eigenvectors v1 and v2.

Note: The tilde ~ in Step 2 is used to discard the eigenvalues, as we are only interested in the eigenvectors in this case.