(1.06, 1.11) Consider three points u = (1, 5), v = (2, -1), w = (8,3) in R2. Let l be the line through u and v, l2 be the line through u, w, and l3 be the line through v, w, as in the diagram below. u l2 W l1 l3 (a) Give the matrix equation for which the lines in the diagram above are the row picture. (b) Without solving this matrix equation, explain why the the equation has no solutions. (c) Now suppose that u = (5, 1). Give the new matrix equation (the lines l, l2, l3 are constructed in the same way), and again, without solving it, explain why it has infinitely many solutions.