Let A be the following invertible matrix with real positive entries:A=(1289).A = $$\begin{pmatrix}1$$ & 2 \\ 8 & $$9\end{pmatrix}$$.A=(1829). Let G be the associated Gauss-Seidel iteration matrix. What are the two eigen values of G?

0 and −$$43\frac{-4}{3}3$$−4

43 and −$$43\frac{4}{3}$$\ and\ $$\frac{-4}{3}34$$ and 3−4

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Let A be the following invertible matrix with real positive entries:A=(1289).A = \begin{pmatrix}1 & 2 \\ 8 & 9\end{pmatrix}.A=(1829). 

Question

Let A be the following invertible matrix with real positive entries:
$A = \begin{pmatrix}1 & 2 \\ 8 & 9\end{pmatrix}.$ Let G be the associated Gauss-Seidel iteration matrix.
What are the two eigen values of G?

Solution

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