Can someone please answer this question using MATLAB language and please explain your answer as well as related concepts? I need help studying for a test. Thanks!

2. Let xi, x2, x3, and x4 be the unknown test scores of the four students Erin, Tina, Jack and Ben respectively and denote the vector a as ri represents Erin's Score t2 represents Tina's Score r3 represents Jack's Score r4 represents Ben's Score r1 C2 where T4 Suppose that you are asked to determine the values of the elements of given the following information Erin scored 30 points higher than Jack. Tina's score is equal to 18 plus the average of Jack and Ben's scores. Jack scored 23 points less than the average of Erin and Ben's scores. The average of the four scores is 78. (a) Determine the matrix A and vector b so that z can be determined as the solution of Az b (b) Given that rank (A)4, circle the correct statement below: An exact solution of Ax=b exists does not exist