Consider the system 82, + 42 — Заз — 4 Зд1 + 82, — 4x; — — 5 2x1 + 4x2 – 7z = 3 (a) Is the coefficient matrix A of the system diagonally dominant? Explain your answer. (b) Does Gauss-Seidel iteration...

Extracted text: Consider the system 82, + 42 — Заз — 4 Зд1 + 82, — 4x; — — 5 2x1 + 4x2 – 7z = 3 (a) Is the coefficient matrix A of the system diagonally dominant? Explain your answer. (b) Does Gauss-Seidel iteration converge to the exact solution? Explain your answer. (C) Apply Gauss-Seidel iteration 1 step with initial vector x0) = (1,1,0)" (d) Does Jacobi iteration converge to the exact solution? Explain your answer. (C) Apply Jacobi iteration 1 step with initial vector (0) = (1,1,0)"