Chapter 2.3, Problem 8E

(a) Find the condition number of the coefficient matrix in the system $\left[\begin{array}{cc}1& 1\\ 1+\delta & 1\end{array}\right]\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]=\left[\begin{array}{c}2\\ 2+\delta \end{array}\right]$ as a function of $\delta >0$.

(b) Find the error magnification factor for the approximate root $x_a=\left[-1,3+\delta \right]$.