Math Models for Computer Science

Let D = [1 -4 8 4 -7 2 0 -1]. If D is the coefficient matrix of a homogeneous system of linear equations, write down this system. (Set up only; you don't have to solve it.) If D is the augmented matrix of a system of linear equations, write down this system. (Set up only; you don't have to solve it.) Using the Gauss-Jordan method: Solve the system of equations that you set up in question #1(a). Solve the system of equations that you set up in question #1(b). Solve the systems of equations using the Gauss-Jordan method {3x - 7y = 1, 7y - 6x = 5. {x - 2y - 3z = 2, 2x + y + 4z = 9, x + 3y 7z = 7. {x - 2y - 3z = 2, 2x + y + 4z = 7, x + 3y + 7z = 9