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<quiz>
  <question type="stack">
    <name>
      <text>Matrices_Solve_Equation_1</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>If \[{\bf A}={@matrixa@},  {\bf B} = {@matrixb@},\]</p>
<p>find a 2 by 2 matrix \({\bf X}\) such that</p>
<p> \[{\bf A}\cdot{\bf X} = {\bf B}.\]</p>
<p> [[input:ans1]] [[validation:ans1]]</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p>For matrix \[{\bf A} = {@matrixa@}\]</p>
<p> find the inverse \[{\bf A^{-1}} = {@inva@}\]</p>
<p>Then \[{\bf X} = {\bf A^{-1}}\cdot{\bf B} ={@inva@} \cdot {@matrixb@}={@correctanswer@}\]</p>]]></text>
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      <text/>
    </stackversion>
    <questionvariables>
      <text>matrixa:matrix([1,rand(6)+1],[0,1]);
 n1:rand(4)+2;
 matrixx:matrix([n1,-n1*(rand(9)+1)],[0,n1]);
 matrixb:matrixa . matrixx;
 correctanswer:matrixx;
 wronganswer1:matrixb.matrixa;
 inva:invert(matrixa);
 matrixx:inva.matrixb;</text>
    </questionvariables>
    <specificfeedback format="html">
      <text><![CDATA[<p>[[feedback:Result]]</p>]]></text>
    </specificfeedback>
    <questionnote format="moodle_auto_format">
      <text>\({\bf A} = {@matrixa@}, {\bf A} \cdot {\bf X} = {\bf B} = {@matrixb@}, {\bf X} ={@correctanswer@}\)</text>
    </questionnote>
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      <text/>
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    <prtcorrect format="html">
      <text><![CDATA[<span style="font-size: 1.5em; color:green;"><i class="fa fa-check"></i></span> Correct answer, well done.]]></text>
    </prtcorrect>
    <prtpartiallycorrect format="html">
      <text><![CDATA[<span style="font-size: 1.5em; color:orange;"><i class="fa fa-adjust"></i></span> Your answer is partially correct.]]></text>
    </prtpartiallycorrect>
    <prtincorrect format="html">
      <text><![CDATA[<span style="font-size: 1.5em; color:red;"><i class="fa fa-times"></i></span> Incorrect answer.]]></text>
    </prtincorrect>
    <decimals>.</decimals>
    <scientificnotation>*10</scientificnotation>
    <multiplicationsign>dot</multiplicationsign>
    <sqrtsign>1</sqrtsign>
    <complexno>i</complexno>
    <inversetrig>cos-1</inversetrig>
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  </question>
</quiz>
