(Solved): (a) Find the condition number of the coefficient matrix in the system \[ \left(\begin{array}{cc} 1 ...

(a) Find the condition number of the coefficient matrix in the system \[ \left(\begin{array}{cc} 1 & 1 \\ 1+\delta & 1 \end{array}\right)\left(\begin{array}{l} x_{1} \\ x_{2} \end{array}\right)=\left(\begin{array}{c} 2 \\ 2+\delta \end{array}\right) \] as a function of \( \delta>0 \). (b) Find the error magnification factor for the approximate root \( x_{a}=(-1,3+\delta) \).