please help me solve this.thank you

3. (40 pts) Consider the system of linear equations: 1 3.x1 + 5.2 = 7+ 213 X1 - 212 = 4+2 2 X1 - X2 + 3 = 10 a) Write the system in matrix form as Ax = d where a = . (5 pts) b) Calculate the determinant of A. Is A non-singular? Is it invertible? What is the rank of A? Comment. (7 pts) (c) Solve for a using the inverse matrix, i.e. r = A-ld. Show your work. (9 pts) (d) Solve for a using the Cramer's rule. Show your work. (9 pts) (e) Consider the system of yA' = d' where y is an unknown 1 x 3 vector and A and d are the same as above. Find y. (5 pts) (f) Suppose that Ax = where A and a are given as above but the vector of the constant terms is zero. What is the solution in this case? (5 pts)