Let A be the following invertible matrix with real positive entries:

\(A=\left(\begin{array}{ll} 1 & 2 \\ 8 & 9 \end{array}\right)\).

Let G be the associated Gauss-Seidel iteration matrix. What are the two eigenvalues of G ?

1
0 and 4/3 
2
0 and ‐4/3 
3
0 and 16/9
4
4/3 and ‐4/3

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