(a) To evaluate following performance of several students based on the score of 5 lessons, Use Principal Components Analysis (PCA) to generate the evaluation method by R prommaing codes. What are the R programming codes so that I can list out the ranking of the students based on this evaluation method?

(b) Can I apply Exploratory Factor Analysis (EFA) in aforementioned data? If yes, what are the R programming codes? Whare are the result and the conclusion.

_{* Reference: Below is internal data.}

	History (X1)	Chinese (X2)	English (X3)	Physics (X4)	Math (X5)
Student 1	99	94	93	100	100
Student 2	99	88	96	99	97
Student 3	100	98	81	96	100
Student 4	93	88	88	99	96
Student 5	100	91	72	96	78
Student 6	90	78	82	75	97
Student 7	75	73	88	97	89
Student 8	93	84	83	68	88
Student 9	87	73	60	76	84
Student 10	95	82	90	62	39
Student 11	76	72	43	67	78
Student 12	85	75	50	34	37