How can I apply an operation to every row of a matrix?

I've got a 162x2 matrix A with each row corresponding to a different point on a graph. I am looking to apply a transformation matrix R to each of those points, replacing the original points with the transformed ones.

The question is, how would I go around looping through A and then applying R to each row?

[Jan]

What kind of transformation is R?

[Lukasz]

It's a rotation, [cosθ -sinθ; sinθ cosθ]

Answer 1

[Jan]

If R is e.g. a linear transformation expressed as a [2 x 2] matrix:

coor  = rand(162, 2);
a     = 2 * pi / 180;
R     = [cos(a) -sin(a); sin(a), cos(a)];
coor2 = (R * coor.').';   % or: coor * R.'

plot(coor(:,1),  coor(:,2),  'r.');
hold('on');
plot(coor2(:,1), coor2(:,2), 'b.');

This works without a loop.