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Linear Algebra

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The system of equations 3x1 – 12x2 + 6x3 + 9x4 = 0, 6x1 + 9x2 + 21x3 + 3x4 = 0, 3x1 + 27x2 + 6x3 = 0, –3x2 + 3x4 = 0 has
(1) An unique solution
(2) Infinite number of solutions
(3) No solution
(4) Exactly four solutions
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