Problem 1: Solve the linear system 3x + 2yz = 5 x+y+z=6 -x+2y + 2z = 6 by hand. Us a stopwatch to time your self and see how long it takes. Check your answer. If you got it right stop the timer. If not, try again. Once you are sure you have a correct answer, note the time. Now repeat using the Gaussian elimination algorithm we wrote in class, and the built in version in the numpy library. How much faster are they than working by hand?

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