Question 4 (4 marks) A teacher saves multiple choice examination questions in a file, the answers to these questions can be any of the letters A, B, C, D or E. The first 6 answers are saved in the matrix M given below. M = Choose a different order for these 6 answers that is NOT alphabetical. 1. 2. 3. 4. 5. 6. a. Complete the permutation matrix below that could pre-multiply M to achieve the order you gave 2 marks above. W = X The teacher re-arranges the questions using the following calculation. Complete the calculation. 1 mark O O 0 0 0 0 1 0 0 0 0 0 0 0 [ A A B C D E]X = [ 0 0 0 1 0 10 0 1 0 0 0 0 0 0 0 c. Is it possible to pre-multiply your answer to part b by the matrix you created in part a? Give a mathematical reason why or why not. 1 mark