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7. (20 pts.) Use Gaussian Elimination to find the values of k, if any, such that the system below has (a) no solution, (b)

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7. (20 pts.) Use Gaussian Elimination to find the values of k, if any, such that the system below has (a) no solution, (b) a unique solution, and (c) infinitely many solutions. Show elementary row operation steps. (This is an exam problem. Help is NOT allowed.) x-2y+3z=1 2x-4y+z = 2 -3x+6y+kz = 3

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