HELP ASAPFind the system determinant of the given matrix.-30-6630

The order of the given matrix is 2 x 2 as there are 2 rows and 2 columns.

The determinant of 2 x 2 matrix can be calculated as follows:

1) Multiply the main diagonal elements.
The main diagonal elements are 2 and -9. Multiplying them we get -18

2) Multiply the remaining two elements (Non diagonal elements)
The other two elements are 3 and 4. Multiplying them we get 12.

3) Subtract the product of non diagonal elements from the product of diagonal elements, this will give the determinant of the matrix.

So, determinant will be = -18 - 12 = -30

In one step, this can be done directly as:

Determinant = 2(-9) - 3(4) = - 30

So, option A gives the correct answer