(9) [10 points] Consider a linear system A30 2 b which has innitely many solutions. We know that the general solution can be written as a: : pp + z where mp is any particular solution and z is in the nullspace of A. The minimum norm solution xmin is the one achieving min ||ac||2. Aaczb It is easy to nd: xmin is the projection of any particular solution onto the row space of A. Justify this by showing that if mp is a particular solution and x* is its projection onto the row space of A, then (a) The vector x* is another solution of the linear system. b If y is any solution of the linear system, then y an and m are ortho onal, so that g ||y||2 \"30*\"2 + My 36*H2 > ||3U*||2 (with equality only for y 33*). Include, as part of your answer, a picture that captures the essential features of this argument. (Note: we discussed this in class on 10/20. I'm assigning it as homework to be sure you got it.)