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What is the solution for the system of equations {2x-3y-2z=-7, x-3y-3z=4, x-2y-z=-3

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A suitable matrix calculation tells you (x, y, z) = (-8, -1, -3).
What is the solution for the system of equations {2x-3y-2z=-7, x-3y-3z=4, x-2y-z=-3-example-1
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