determine the basis S. (Hint: Find Pr) 2. (20 p.) Let the linear transformation L: R³ R³ be defined by z+2y-z (1)- 2+2 4x - 4y + 5z a) Find the standard matrix representing L. b) Find the kernel of L. c) Find the rank of L. d) Is L one to one? (Explain your answer.)