Pls DO NOT answer if you are not talented enough. Upvoted if correct!

(1 point) Note: In this problem, use the method you learned in last week's tutorial. You can find the tutorial worksheet on Brightspace. In this problem, we use the following scheme for representing strings as sequences of integers modulo 5. For example, "B" is encoded as the sequence of integers 0,1. We will not use the letter "J". For details and examples, see the tutorial worksheet. 0 1 2 3 4 A B C D E F G H I K 2 L M N O P 3 R S T U 4 V W X Y Z (a) Encrypt the message "EXTENT" using a Hill cipher with encryption matrix 4 W N A= 1 3 Ciphertext:(b) What is the decryption matrix? (c) Decrypt the message "RBOCAZ". Plaintext:(1 point) True or false? (a) O True O False: Every set of 8 vectors in R spans R. (b) O True O False: Every linearly independent set of 7 vectors in R' is a basis of R. (c) O True ( False: Some linearly independent set of 6 vectors in R' spans R?. (d) O True O False: Every linearly independent set of vectors in R'has 7 or fewer elements. (e) O True O False: Every set of 7 vectors in R spans R. (f) O True False: There exists a set of 7 vectors that span R