Respuesta :
Answer:
Option C.
Step-by-step explanation:
The given matrix is B = [tex]\left[\begin{array}{ccc}-18&3\\4&1\end{array}\right][/tex]
We have to find the determinant of the given matrix.
In a matrix given in the form of [tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right][/tex]
Determinant of the matrix is represented by ad - bc
By this rule,
Determinant B = (-18)×1 - 3×4
= -18 - 12
= -30
Therefore, option C. -30 will be the answer.