a. Write out the following 4x4 matrices and label each with the following names: TO: Translate along X-axis by 4 and along Y-axis by 3 R: Rotate about the z-axis around the origin by 45 degrees T1: Translate along X-axis by -4 and along Y-axis by-3 S: Scale along X-axis by a factor of 2 and along Y-axis by a factor of 4 (keep value along the Z-axis unchanged) b. Apply the transformation matrix TO to the point P=(7, 5, 7) to find the transformed point Q by multiply it out. c. Apply the transformation matrix R to the point P=(7, 5, 7) to find the transformed point Q by multiply it out. d. Suppose two transformations are to be performed in the sequence, first scale an object with S, and then translate the object with TO. Show the combined effect of these two transformations by multiplying out the two matrices. e. How to apply these transformations to the point P (7, 5, 7)? Write the matrix, matrix, point multiplication. Make sure the two matrices are multiplied to the point in the correct order.