A certain system of linear equations in variables x,y,z is placed in an augmented matrix and then Gaussian elimination is performed on it. The resulting matrix is 1 0 2 3 0 1 3 -1 0 0 0 0 Find the solution to the original system of equations. If the solution set consists of a single answer, state it. If the solution set is infinite, parameterize the solution set. If the solution set is empty, explain why. Please show all relevant work.

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A: Topic:- matrix algebra