Transformations of a plane

Can you tell me how to take coordinate 1 1, -1 1, -1 -1, 1 -1 and rotate this square clockwise by 45 degrees. How do i input the cos and sin values into matlab?

Answer 1

[Bjorn Gustavsson]

Well first you'd better put your coordinates in a 2-D array:

r_Corners = [1 1; -1 1; -1 -1; 1 -1]';

Then you'd make yourself a rotation matrix:

mRot = @(phi) [cos(phi) -sin(phi);sin(phi) cos(phi)];

Then it's as simple as:

rTransformed = mRot(pi/43)*rCorners;

HTH