write a program that performs the transformation of points induced by a matrix in matlab

main.m
% Define the input point as a column vector
point = [1; 2];

% Define the transformation matrix for translation
translation = [1 0 2; 0 1 3; 0 0 1];

% Define the transformation matrix for rotation
theta = pi/4; % 45 degree rotation
rotation = [cos(theta) -sin(theta) 0; sin(theta) cos(theta) 0; 0 0 1];

% Combine the transformation matrices
transformation = translation * rotation;

% Apply the transformation to the point
point_homogeneous = [point; 1];
transformed_homogeneous = transformation * point_homogeneous;
transformed = transformed_homogeneous(1:2);

% Print the results
disp("Input point:");
disp(point);
disp("Transformed point:");
disp(transformed);
666 chars
24 lines