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Consider the following system of linear equations x1 x2 2x3 x4 0 x1 2x2x3 1 x1 x2 8x3 a 2 2 x4 2a where a

Consider the following system of linear equations x1 x2 2x3 x4 0 x1 2x2x3 1 x1 x2 8x3 a 2 2 x4 2a where a is a real number For what values of a does the system have a no solution b a unique solution and c infinitely many solution Clearly justify your

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