MATLAB: Rotate a 4D matrix

Question

Hello,

I have a 4D matrix at the moment which contains coordinates (X, Y, Z). I would like to know how can I rotate that matrix easily? I know the rotation matrices in space (these are 3×3 matrices) upon X, Y, and Z axes but I fail to do in 1 line the rotation of my 4D matrix.

If I extract a single value from the matrix, and rotate it using a rotation matrix it works, but how can I rotate the whole 4D matrix? For example I extract a value of my 4D matrix:

AA=D(2,5,44,:)

I make sure I have the coordinates on 1 line:

AA2=AA(1,:)

I rotate the point:

AA2rot=AA2*Rotz

Rotz is a 3×3 rotation matrix. And this works, but how can I do it for all elements of my 4D matrix (D)?

Answer 1

 AA2 = reshape(D, [], 3);
 AA2rot = AA2 * RotZ;
 AArot = reshape(AA2rot, size(D));