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10. Consider the following system of linear equations in the variables x, y and z, with parameters a and b: 2x + 5y + az

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10. Consider the following system of linear equations in the variables x, y and z, with parameters a and b: 2x + 5y + az = 2b x + 3y + 2az = 46 3x + 8y + 6z =0 Write down the augmented matrix of this linear system, then use row reduction to determine all values of a and b for which this system has (a) a unique solution, (b) no solution or (c) infinitely many solutions. Justify your answers

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