Least Squares System Solution The overdetermined system of equations given byhas no solut...

Least Squares System Solution The overdetermined system of equations given by

has no solution. If you premultiply each side of the equation by AT, however, you will obtain a system with a unique solution representing a point that minimizes the sum of the squares of the differences between the left- and right-hand sides of equation (10). It is called the least squares solution of .

(a) Find the linear system .

(b) Solve the linear system found in (a) for the least squares solution.

(c) Plot the three lines determined by (10) and the point obtained in (b).