transformation matrix in matlab

main.m
T = [cos(theta) -sin(theta) tx;
     sin(theta) cos(theta)  ty;
        0            0       1];
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main.m
X = [x; y; 1];
X_transformed = T * X;
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main.m
% Define the transformation matrix
theta = pi/4; % Rotation angle
tx = 1; % Translation in x-axis
ty = 1; % Translation in y-axis
T = [cos(theta) -sin(theta) tx;
     sin(theta) cos(theta)  ty;
        0            0       1];

% Apply the transformation on the point (5, 3)
X = [5; 3; 1];
X_transformed = T * X;

% Print the transformed point
disp(X_transformed(1:2));
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main.m
   4.2426
   5.2426
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