(Calculus required) Given the set of equations for (with ), let us consider the following least squares algorithm for obtaining an approximate solution to the system. Given a point and the line , the distance from this point to the line is given by If we define a function by and then determine the point that minimizes this function, we will determine the point that is closest to each of these lines in a summed least squares sense. Show that and are solutions to the system and Apply this algorithm to the system and compare your results to those in this section.

Section 2.1 Notes Monday, February 29, 20168:28 AM Linear Algebra (My Notes) Page 1 Section 2.1 Cont. Linear Algebra (My Notes) Page 2 Linear...