Questions The questions listed below are intended to be answered using MATLAB which is available at https://webapps.psu.edu. MATLAB instructions are included after the questions. These questions are the same questions that will appear on the online quiz for this project. You should work out the solutions to these questions before starting the online quiz. You may use your solutions when you take the online quiz. 1. Compute 17+ 24 using modulo 26 arithmetic. 2. Compute 20 x 5 using modulo 26 arithmetic. [4] 3. Compute 7 12 [ 21 ] –3 [14] 5 using modulo 26 arithmetic. [ 16 ] 4. Compute [ 11 22 14 ] [ 3 10 20 7 7 9 21 20 9 17 | 17 0 3 || 9 4 17 using modulo 26 arithmetic. [ 3 10 20 5. Consider the key matrix A | 20 9 17 | I 9 4 17 Encode the message BUY TEN SHARES TOMORROW using this key matrix. Note that you will need to insert a random letter X at the end of the message to make the number of letters a multiple of three. 6. Decode the message KSKBHXKDYRVTKRZTQE which was encoded using the key matix A from Question 5. 7. Determine whether the following matrices are invertible modulo 26. (a) [ 11 20 20 7 2 1 24 | 9 3 3 2 5 0 22 9 4 | 17 21 8 (b) (c) [ 3 1 24 ] 20 11 25 | 12 4 19 11 20 201 8. Consider the key matrix A= 2 1 24 Encode the message | 9 3 3 RED SKY AT NIGHT using this key matrix. 9. Find A-1 modulo 26 using the matrix A from question 8. 10. Decode the message IWGEJLFWRBUEUOWBHPZMLMXNXUBOEUAHG which was encoded using the key matix A from Question 8.