Question

Algebra Question ( Matrices and Determinants ) 20 point

Answer 1

The determinant of a 2 x 2 matrix can be calculated as:
Product of non-diagonal elements subtracted from product of diagonal elements.

The diagonal elements in given matrix are 12 and 2. The non-diagonal elements are -6 and 0.

So,

Determinant G = 12(2) - (-6)(0)

Determinant G = 24 - 0 = 24

So, option B gives the correct answer

Answer 2

To get the determinant of a 2*2 matrix, you subtract the product of the leading diagonal from the secondary diagonal.


In the matrix above, the product of the leading diagonal is (12×2) = 24.
The product of the secondary diagonal is (-6×0) = 0.

∴ determinant(Δ) = (24) - 0 = 24