- -5 3 a. Use the coding matrix A = to encode the word TOYS. 0 2 1 3 5 10 b. Use its inverse, A to decode 25, 30, -24, 24. 1 O 2 Evaluate the determinant. 28 3 7
Matrices are used to encode and decode encrypted 6: Matrices and Cryptography messages. Using the following code, Task KİLİMİN | SPACE |-Z --T-T-u一ㄒㄧˇ-ㄒㄧ-w-ㄒㄧㄨㄧㄧㄧㄚ s116 17 18 19 20 21 22 23 24 25 26 The sentence MATRICES ARE FUN becomes: FİUİN AİRİE 0161211 14 9L3151 1910|111813 a. To encode the message, multiply by an invertible matrix A. Write the coded message in a 3x6 matrix, adding 0's for blanks. Calculate the product using a graphing calculator. [7-3-31「13 18 5 1...
1. (4 pts)Let The message shown on the next page was encoded with matrix B. You need to decode the message with the aid of your graphing calculator since matrix B is a large matrix, no row operations should be done for this problem. Follow these steps: enter two appropriate matrices in your calculator, you need to determine which ones, explain which ones you used » find the inverse matrix of B multiply two appropriate matrices, you need to determine...
68 4 64 73 1 5. Matrix C is a coded message where C61 4 52 51 0 109 5 120 170 5 You know that each letter of the original message was first replaced with the number corresponding to its placement in the English alphabet (eg. E was replaced with 5) and any spaces in the message were replaced with zeroes. Then the message was encoded by multiplying the message matrix, M, on the left by the coding matrix,...
Question 1, 2 And 3 A = [ 2 5 ] is the given matrix. [ 3 5 ] 1) (2marks) encode the message "TEST". 2)(2marks) find the inverse of A. Note that your matrix entries should be integers in the range 0,...25. 3) (2marks) use your answer above to decode the message "ETAJ"
a. b. c. What does the ciphertext ONL decode to with the modular inverse matrix from Question b? d. We use an encoded text using a Caesar cipher. The ciphertext was intercepted which is: THUBYLDH. What is the word? How did you work this out? Encode the uppercase letters of the English alphabet as A-0, B-1, C-2 and so on. Encrypt the word BUG with the block cipher matrix 16 4 11] 10 3 2 using modulo arithmetic with modulus...
You are wanting to communicate secret messages with your friend, and you choose to do this with matrices. The encoding matrix that you choose to use is 2 -2 -1 6 You use the following key to convert your message into a string of numbers, where "O" is used as a placeholder where required. A B C D EF G H IJ K L M 10 2 11 24 19 5 25 20 3 7 16 6 14 N O...
coding theory 1. If 100 031 Go 01 0 0 9 0001 27 01 0 054 is a generator matrix for a linear code over Fi encode the message stream m(2, 3,9, 6, 1,4,3, 8) (by breaking it into encodable pieces). 2. If T (1 0 1 2 3 4 be the transpose of a parity-check matrix for a perfect 1-error-correcting code over Fs, with implicit generator matrix 4410 0 0 3 4 0 1 0 0 1400 01 1....
(5 points) The following augmented matrix is in reduced row echelon form. Decode from the matrix the solution of the corresponding system of linear equations (using the variables X1, X2, and x3) or state that the system is inconsistent. (if a free variable is needed use the parameter t.) 1 0 3121 0 1 53 Lo 0 olo) con (10 points) Use row operations to compute the inverse of the matrix A = [ 53 -2] and use it to...
Please show all work in the space provided for credit. 1.) The function D(h) 10e can be used to find the number of milligrams D of a certain a. How many milligrams will be present after 2 hours? b. When the number of milligrams reaches 1, the drug is to be administered again. drug that is in a patient's bloodstream h hours after the drug has been administered Round your answer to one decimal place. After how many hours will...