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12. (20 points) Solve the system of equations using Gauss-Jordan elimination. - x+2y z= 0 2x+z=-1 x-y=1 a. Write the system of linear equations

12. (20 points) Solve the system of equations using Gauss-Jordan elimination. - x+2y z= 0 2x+z=-1 x-y=1 a. Write the system of linear equations as a matrix equation Ax = b. b. Determine A-1 using the Gauss-Jordan method. C. Solve for x using A-1 and b from above.

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