MATH 114 EXAM PREP VERIFIED
Algebra for College Students
COMPLETED
2023/2024
, 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
Algebra for College Students
COMPLETED
2023/2024
, 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
