Chapter 11, Problem 16P

Use the software package of your choice to obtain a solution, calculate the inverse, and determine the condition number (without scaling) based on the row-sum norm for

(a) $\left[\begin{array}{ccc}1& 4& 9\\ 4& 9& 16\\ 9& 16& 25\end{array}\right]\left\{\begin{array}{c}{x}_1\\ x_2\\ x_3\end{array}\right\}=\left\{\begin{array}{c}14\\ 29\\ 50\end{array}\right\}$

(b) $\left[\begin{array}{cccc}1& 4& 9& 16\\ 4& 9& 16& 25\\ 9& 16& 25& 36\\ 16& 25& 36& 49\end{array}\right]\left\{\begin{array}{c}{x}_1\\ x_2\\ x_3\\ x_4\end{array}\right\}=\left\{\begin{array}{c}30\\ 54\\ 86\\ 126\end{array}\right\}$

In both cases, the answers for all the x's should be 1.