Respuesta :

Det=(-18x1)-(4x3)
=-30
so the answer is C

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.