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      <text>7.3.1.1 Determinant of a 2x2 matrix</text>
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      <text><![CDATA[<h4>Determinant of a \(2\times2\) matrix</h4>
<p>The <b>determinant</b> of the matrix \(A=\begin{bmatrix} a &amp; b \\ c &amp; d \end{bmatrix}\) is denoted by \(\begin{vmatrix} a &amp; b \\ c &amp; d \end{vmatrix}\) (note the change from square brackets to vertical lines) and is defined to be the number \(ad-bc\). That is: \[\begin{vmatrix} a &amp; b \\ c &amp; d \end{vmatrix} = ad-bc.\] </p>

<p>We can use the notation \(\det(A)\) or \(\lvert A \rvert\) to denote the determinant of \(A\). A common symbol used to represent the determinant of a given matrix is \(\Delta.\)</p>]]></text>
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