<?xml version="1.0" encoding="UTF-8"?>
<quiz>
  <question type="multichoice">
    <name>
      <text>7.4.2.2 The inverse of a 2 x 2 matrix</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Which of the following matrices has an inverse?</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text/>
    </generalfeedback>
    <defaultgrade>1</defaultgrade>
    <penalty>0.3333333</penalty>
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    <single>false</single>
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    <answernumbering>none</answernumbering>
    <showstandardinstruction>1</showstandardinstruction>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
    <answer fraction="33.33333" format="html">
      <text><![CDATA[<p>\(A=\left[{ \begin{array}{cc}1&amp;0\\2&amp;3\end{array}} \right]\)</p>]]></text>
      <feedback format="html">
        <text><![CDATA[<p>\(|A|=1\times 3 - 0\times 2 = 3\).</p>]]></text>
      </feedback>
    </answer>
    <answer fraction="33.33333" format="html">
      <text><![CDATA[<p>\(B=\left[{ \begin{array}{cc}1&amp;1\\-1&amp;1\end{array}} \right]\)</p>]]></text>
      <feedback format="html">
        <text><![CDATA[<p>\(|B|=1+1 =2\).<br></p>]]></text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<p>\(C=\left[{ \begin{array}{cc}1&amp;-1\\-2&amp;2\end{array}} \right]\)<br></p>]]></text>
      <feedback format="html">
        <text><![CDATA[<p>\(|C|=2-2 =0\). Therefore \(C\) has no inverse because its determinant is zero.<br></p>]]></text>
      </feedback>
    </answer>
    <answer fraction="33.33333" format="html">
      <text><![CDATA[<p>\(D=\left[{ \begin{array}{cc}2&amp;0\\0&amp;2\end{array}} \right]\)</p>]]></text>
      <feedback format="html">
        <text><![CDATA[<p>\(|D|=4-0 =4\).<br></p>]]></text>
      </feedback>
    </answer>
  </question>
</quiz>
