Question: Consider the following matrix A and solving the linear system A = b by iterative methods, A = 1 a B - 1 -7

Consider the following matrix A and solving the linear system A =

Consider the following matrix A and solving the linear system A = b by iterative methods, A = 1 a B - 1 -7 B7 1 (a) What are the conditions on the variables a, 3, and y for Jacobi's method and Gauss-Seidel method to converge? (b) Describe the Jacobi's method and Gauss-Seidel method. (c) Find a set of values (if any exist) of a, 3, and y for which the Jacobi method converges but Gauss-Seidel does not, and vice versa.

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