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please help! 1. Consider the following linear system of equations: 3x - 2y + 4z = 12, -6r + 3y - 2z = 6, 3x

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1. Consider the following linear system of equations: 3x - 2y + 4z = 12, -6r + 3y - 2z = 6, 3x - 3y + 10z = 42. (a) [5 points] Write down the matrix form of the given linear system. That is, find matrices A, X, and B such that AX = B. (b) [5 points] Write down the augmented matrix form of the given linear system. (c) [10 points] Write down the reduced augmented matrix obtained when using the Gauss-Jordan reduction method to solve the linear system. What is the solution to the linear system

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