Past exam of the year 1 of the computer science course of the University of Oxford / 2019 / Digital systems, linear algebra, introduction to formal proof / 6 / a / i

Update the unknowns in row order, immediately using newly computed components. The component equations areThus $G=\left(\begin{array}{ccc}0& 1& -1\\ 0& -1/2& 0\\ 0& -3/4& 1/2\end{array}\right)$ and $c=(-1,3/2,1/4{)}^T$. Using only old values in all three row equations would instead describe the Jacobi method, not the Gauss-Seidel method.