Question

Find the system determinant of the given matrix. [2, 4] [3,-9]

Answer 1

-30 will be the determinant.

Explanation:

We have to find the system determinant of the given matrix

`\begin{bmatrix}2 & 4\\ 3 & -9\end{bmatrix}`

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.

Answer 2

`\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`