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Consider the following system of linear algebraic equations. x + 4x2 + 2x3 = 3 4x1 + 2x + x3 = 1 2x12x25x3 =

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Consider the following system of linear algebraic equations. x + 4x2 + 2x3 = 3 4x1 + 2x + x3 = 1 2x12x25x3 = -3 Does the given system has a unique solution? If yes, find this unique solution by using LU-decomposition method.

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