c) Write the 3D Rotation Matrix around the z-axis by 0 = 45°: Rows: 1 Columns: 1

Let the basis B = {b1, b2} and basis C = {c1, c2} where vectors b1 = (7 -2). b2 = 2 -1 , c1 = 4 1  c2= 5 2 Find the change of coordinates matrix from B to C. (b) Find the change of coordinates matrix from C to B.

Write down the 4 by 4 matrix S that scales by a constant c. Multiply ST and also TS, where T is translation by (1, 4, 3). To blow up the picture around the center point (1, 4, 3), would you use vST or vT S?

v=9i+ 3j+9k W = -3i - 3j+ 7k Compute the dot product v. w.