[tex]\left[\begin{array}{ccc}2&4\\3&-9\end{array}\right]\\\\\det\left[\begin{array}{ccc}2&4\\3&-9\end{array}\right]=(2)(-9)-(4)(3)=-18-12=-30[/tex]
Answer:
-30 will be the determinant.
Step-by-step explanation:
We have to find the system determinant of the given matrix
[tex]\begin{bmatrix}2 & 4\\ 3 & -9\end{bmatrix}[/tex]
Determinant will be = 2(-9) - (4 × 3)
= -18 -12
= -30
Therefore, as per given options by you in the comments.
option A is the answer.
