Q96Section C (Part C)96 of 120

Numerical analysis — convergence of Gauss-Seidel for a 2x2 system

Let $S$ be the set of all $2\times2$ matrices $A$ such that the iterative sequence generated by the Gauss-Seidel method converges for every initial guess, when employed to solve the system of equations $A\begin{pmatrix}x_1\\x_2\end{pmatrix}=\begin{pmatrix}1\\2\end{pmatrix}$ . Then which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

Keyboard: A–D answer · S solution · ←/→ previous/next