Question: Please answer the given question on detail: Consider the system of linear equations: x1 - 4x2 + 3x3 = 1, x1 - 5x2 + 4x3

Please answer the given question on detail:

Consider the system of linear equations: x1 - 4x2 + 3x3 = 1, x1 - 5x2 + 4x3 = 0, X1 - 6x2 + 5x3 = 0. Prove that there exists y E R3 that satisfies y A = 0 and y b * 0

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