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Solve the linear system by Gaussian elimination:x- y + 2z - w = -12x -...

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Solve the linear system by Gaussian elimination:x- y + 2z - w = -12x - y-2z- 2w = -2-x+2y-4z + w = 13x + 2aw = -3Determine for which values of a the system is consistent, and if so whether the solution is unique.Answer "inconclusive" if there is not enough information to make a decision.

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