1.

A A Find a least-squares solution of Ax = b by (a) constructing the normal equations for x and (b) solving for x. 1 - 4 4 A= b= 0 - 5 A a. Construct the normal equations for * without solving. (Simplify your answers.)Describe all least-squares solutions of the equation Ax = b. 1 10 1 10 A= b= 101 12 101 4 The least-squares solutions are all vectors of the form x = with X3 free. (Simplify your answers.)Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. 1 1 0 10 -1 3 A= , b= 01 1 -11 -1 a. The orthogonal projection of b onto Col A is b = (Simplify your answers. )