Timeler 1) Using matrix multiplication, calculate the rotation of the shape below by 30 degrees about its own center. a) What are the steps needed in order to obtain the correct rotation (since we know only the formula for ROTATING around the origin)? b) Write the combined transform by multiplying the corresponding transformation matrices. Calculate the resulting matrix. c) Calculate the new position of one of the square's vertices of your choice). Useful formulas: Translation: Xnew = Xald + dx Ynew = Yold + dy Scaling: Xnew = Sx * Xold Yarw = Sy * Yald Rotation about origin: Xnew = Xald * COS0- Yald * sino Ynew = Xald * sino + Yald * cos y 5 4 (1,3) (3, 3) 3 1 (1,1) (3,1) 0 1 . 2 3 4 5 6 7 8 9 10