Right question, I am stuck. We have been working on matrices and I think I understand them, however I have no idea how to apply these to this transformation question.
Consider the points O = (0; 0; 0), A = (1; 3; 3) and B = (-2; -6; 4) together with the transformation which carries out a scaling to increase distances in the x direction by a factor of two, decrease those in the y - direction by a factor of three and leave distances in the z - direction unchanged. It also leaves the point A unchanged. What is the matrix associated with this transformation? Use the matrix to find the images of the following
(a) the point O (b) the point A (c) the point B (d) the vector A->B (e) the vector O->B