QUESTION 1 [III] marks} Suppose that the augmented matrix for a linear system is l 2 3 l 1 I} l l 2 1 I} 2 3 I] E [:1] Find the solution set. for this: system. (b) Give 3 distinct solutions of S. (c) Among all solutions of S in which b is an integer less than 2023, write down one with the largest possible value of b.QUESTION 2 (12 marks) Let S denote the following system: ctytztw rty 0 y+ w -1 rtw 2 (a) Find the inverse of the coefficient matrix of S.(b) Use part (a) to find the unique solution of S