Read and understand the above proof and answer the following questions Hint: for most ques= tions, you need to closely examine the algorithm (listed in Algorithm 1) and the assumptions Equ (1), and (3) made in the Theorem a) (3 pts) Explain why it is true for Equ (5)_ b) (3 pts) Explain why it is true for Equ (6). c) (4 pts) Explain why it is true for Equ (8). d) (8 pts) Explain why it is true for Equ (9)_ (6 pts) Explain why it is true for Equ: (10). Hint: you can use the Cauchy-Schwarz inequality x . 2 < kxkkzk for xze R4. (6 pts) Explain why it is true for Equ (13) g) (5 pts) Explain why it is true for Equ (14) h) (5 pts) Explain why it is true for Equ (16)