(a) Solve the following systems of linear equations and determine whether the system is consistent or inconsistent: i. ii. A = (d) Reduce to sum of squares 1 + 2a 5b 1 + a 26 x+y 1 do co to 2x -2 = 11 (4 marks) (b) Write down all the minors and cofactors of each element and also evaluate the determinant. = 1 3 -2 4 -5 6 3 5 2 10.5 - Y 33 (10 marks) (c) Find basic solutions of homogeneous system with coefficient matrix A, and ex- press every solution as a linear combination of the basic solutions, where 1 -3 0 6 22 2 2-5 (4 marks) -9-10 7 -3 9 2 6 -8 Q(x1, 12, 13) = x + 2x - 7x - 4x1x2 + 8x1x3 (8 marks) (10 marks)