Question: Apply Jacobis 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

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 + 3x₃- x₄ = 1

-x₃ + 3x₄ = 1

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