MATH 114 EXAM PREP lgebra for College Students COMPLETED 2026/2027 9pages

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)