Chapter 5.4, Problem 19E

Find the least-squares solution $\stackrel{\to }{x}*$ of the system
$A\stackrel{\to }{x}=\stackrel{\to }{b}$ , where $A=\left[\begin{array}{cc}1& 0\\ 0& 1\\ 0& 0\end{array}\right]$ and $\stackrel{\to }{b}=\left[\begin{array}{l}1\\ 1\\ 1\end{array}\right]$ .
Use paper and pencil. Draw a sketch showing the vector $\stackrel{\to }{b}$ , the image of A. the vector $A\stackrel{\to }{x}*$ , and the vector $\stackrel{\to }{b}-A\stackrel{\to }{x}*$ .