Final answer:
The determinant of the matrix (-3 2 4 -1) is calculated using the formula ad - bc and results in a value of -11.
Step-by-step explanation:
The student has requested to find the determinant of a 2x2 matrix (-3 2 4 -1). The determinant of a 2x2 matrix in the form of:
|a b|
|c d|
is computed using the formula ad - bc. Applying this formula to the given matrix:
|-3 2|
| 4 -1|
we get the determinant as:
determinant = (-3)*(-1) - (2)*(4)
which is -3 + (-8), leading to a determinant of -11.