Question
Evaluate the following determinant:
$$ det \left( \begin{matrix}1&0\\4&3\end{matrix} \right) $$Answer
$$ det \left( \begin{matrix}1&0\\4&3\end{matrix} \right) = 3 $$
Explanation
The determinant of 2x2 matrix is calculated as:
$$ \color{blue}{ det \left( \begin{matrix} a & b \\ c & d \end{matrix} \right) = a \cdot d - c \cdot b } $$In our case we have:
$$ det \left( \begin{matrix} \cssId{i00}{1} & \cssId{i01}{0} \\ \cssId{i10}{4} & \cssId{i11}{3} \end{matrix} \right) =
\cssId{u0}{1 \cdot 3} - \cssId{u1}{4 \cdot 0} = 3 - 0 = 3$$
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