Consider the system 471 + 222 — 1ӕз — 2 %3D 2x1 + 6x2 – 3x3 = -2 2x1 + 4x2 – 7x3 = 2 (a) Is the coefficient matrix A of the system diagonally dominant? Explain your answer. (b) Does Gauss-Seidel...

Extracted text: Consider the system 471 + 222 — 1ӕз — 2 %3D 2x1 + 6x2 – 3x3 = -2 2x1 + 4x2 – 7x3 = 2 (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 x(0) = (1, 1,0)" (d) Does Jacobi iteration converge to the exact solution? Explain your answer. (C) Apply Jacobi iteration 1 step with initial vector a (0) (1, 1, 0)"