Answer
The fill in the blanks is in red color.
$= {\color{Red} 5}\cdot {\color{Red} 3} - {\color{Red} 2}\cdot {\color{Red} 4}={\color{Red} {15}}-{\color{Red} 8}={\color{Red} 7} $
and ${\color{Red} {determinant}}$ is ${\color{Red} 7}$.
Work Step by Step
The given matrix in the determinant form.
\begin{vmatrix}
5 & 4\\
2&3
\end{vmatrix} We multiply and subtract as shown below.
$= 5\cdot 3 - 2\cdot 4$
$=15-8 $
$=7 $
this is the second order determinant whose value is $ 7$.
