Consider the system 4x1+2x2−1x3=2 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)T (d) Does Jacobi iteration converge to the exact solution? Explain your answer. (c) Apply Jacobi iteration 1 step with initial vector x(0)=(1,1,0)T

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