Apply Jacobis method to the given system. Take the zero vector as the initial approximation and work

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Apply Jacobi’s method to the given system. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive iterates agree within 0.001 in each variable. In each case, compare your answer with the exact solution found using any direct method you like.

3x1 - x2                 = 1
-x1 + 3x2 - x3        = 0
-x2 + 3x-  x4       = 1

-x3 + 3x4              = 1

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