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1. Solve the following system of linear equations using the Gauss-Jordan elimination method. Show all your
steps.
2x - y + 3z = 5
x + 2y - z = -2
3x - y + 2z = 4
Answer: The solution is x = 1, y = -1, z = 0.
2. Find the inverse of the following matrix, if it exists. Show all your steps.
1 2
3 4
Answer: The inverse matrix is
-2 1
1.5 -0.5
3. Simplify the following rational expression. Show all your steps.
(x^2 - x - 6) / (x^2 - 4x + 4)
Answer: The simplified expression is
(x + 2) / (x - 2)
MATH 114 EXAM PREP lgebra for College Students COMPLETED 2026/2027 9pages
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