(Solved): II) Gaussian elimination with partial pivoting a. Use Gaussian elimination and three-digit choppin ...

II) Gaussian elimination with partial pivoting a. Use Gaussian elimination and three-digit chopping arithmetic to solve the following linear systems, and compare the approximations to the actual solution \( \left(x_{1}=0, x_{2}=10, x_{3}=\frac{1}{7}\right) \). \[ \begin{aligned} 3.03 x_{1}-12.1 x_{2}+14 x_{3} &=-119 \\ -3.03 x_{1}+12.1 x_{2}-7 x_{3} &=120 \\ 6.11 x_{1}-14.2 x_{2}+21 x_{3} &=-139 \end{aligned} \] bepeat the above exercise using Gaussian elimination with scaled partial pivoting and threedigit chopping arithmetic.