Question

Which expression gives the determinant of the matrix

Answer 1

For 2 by 2 matrices, you can use the formula (ad-bc) to find the determinant of the matrix.

Answer 2

If the matrix is of 2 by 2 then we can find the determinant of the matrix.

$\begin{bmatrix}a & b\\ c & d\end{bmatrix}$

Then (ad - bc ) gives you the determinant of the matrix.

For example,

$\begin{bmatrix} 2 & 4\\ 1 & -2 \end{bmatrix}$

= (2)(-2) - (1)(4)

= - 4 - 4

$\begin{bmatrix} 2 & 4\\ 1 & -2 \end{bmatrix}$ = -8