Mathematics · Numerical Analysis
Let S denote the set of all 2 × 2 matrices A such that the iterative sequence generated by the Gauss-Seidel method applied to the system of linear equations A x 1 x 2 = 2 3 converges for every initial guess. Then which of the following matrices belongs to S?
- 12 2 4 3
- 2-3 1 2 3
- 33 2 1 2✓
- 45 8 1 2
Correct answer
3 2 1 2
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