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 + 4x2 + x3          = 1
x2 + 3x3                 = 1

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