Use the result of to find all values of c for which the

QUESTION:

Use the result of to find all values of c for which the homogeneous system(c + 2) x + 3y = 02x + (c ? 3) y = 0has a nontrivial solution. Show that the homogeneous system in has a nontrivial solution if and only if ad – bc = 0. Consider the homogeneous systemax + by = 0cx + dy = 0.(a) If x = x0 and y = y0 is a solution and k is a real number, then show that x = kx0 and y = ky0 is also a solution.________________(b) If x = x1, y = y1 and x = x2, y = y2 are both solutions, then show that x = x1 + x2, y = y1 + y2is a solution.