Formulaic Maths Problems
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Find the determinant of the matrix $A = \begin{pmatrix} 16 & 9 \\ 6 & 4 \end{pmatrix}$.
Substitute the values.
Hint: The determinant of $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$ is $\operatorname{det} A = ad - bc$.
$\operatorname{det} A = \class{inputBox step1}{~\bbox[border:2px solid blue]{\strut\rlap{\class{inputReplace}{A1}}\hspace{54px}}~} \times \class{inputBox step1}{~\bbox[border:2px solid blue]{\strut\rlap{\class{inputReplace}{A2}}\hspace{54px}}~} - \class{inputBox step1}{~\bbox[border:2px solid blue]{\strut\rlap{\class{inputReplace}{A3}}\hspace{54px}}~} \times \class{inputBox step1}{~\bbox[border:2px solid blue]{\strut\rlap{\class{inputReplace}{A4}}\hspace{54px}}~}$
$\operatorname{det} A = [16] \times [4] - [9] \times [6]$
Therefore,
$\operatorname{det} A = \class{inputBox step2}{~\bbox[border:2px solid blue]{\strut\rlap{\class{inputReplace}{B1}}\hspace{54px}}~} - \class{inputBox step2}{~\bbox[border:2px solid blue]{\strut\rlap{\class{inputReplace}{B2}}\hspace{54px}}~} = \class{inputBox step2}{~\bbox[border:2px solid blue]{\strut\rlap{\class{inputReplace}{BR}}\hspace{54px}}~}$
$\operatorname{det} A = [64] - [54] = [10]$