Option C.
Step-by-step explanation:
The given matrix is B = ![\left[\begin{array}{ccc}-18&3\\4&1\end{array}\right]](/tpl/images/0341/5275/0a40b.png)
We have to find the determinant of the given matrix.
In a matrix given in the form of ![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]](/tpl/images/0341/5275/0e273.png)
Determinant of the matrix is represented by ad - bc
By this rule,
Determinant B = (-18)Γ1 - 3Γ4
Β Β Β Β Β Β Β Β Β Β Β Β = -18 - 12
Β Β Β Β Β Β Β Β Β Β Β Β = -30
Therefore, option C. -30 will be the answer.