<item ident="G2-0004" title="G2 | Determinants | ver. 0004">
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<presentation>
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<div class="exercise-statement">
<p>
<strong>G2.</strong>
</p>
<p>Show how to compute the determinant of the matrix <p style="text-align:center;"><img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?A= \left[\begin{array}{cccc} 3 & -5 & -6 & 0 \\ -2 & -2 & -4 & 0 \\ -2 & -6 & 4 & 0 \\ 2 & -3 & 3 & 2 \end{array}\right] ." alt="A= \left[\begin{array}{cccc} 3 & -5 & -6 & 0 \\ -2 & -2 & -4 & 0 \\ -2 & -6 & 4 & 0 \\ 2 & -3 & 3 & 2 \end{array}\right] ." title="A= \left[\begin{array}{cccc} 3 & -5 & -6 & 0 \\ -2 & -2 & -4 & 0 \\ -2 & -6 & 4 & 0 \\ 2 & -3 & 3 & 2 \end{array}\right] ." data-latex="A= \left[\begin{array}{cccc} 3 & -5 & -6 & 0 \\ -2 & -2 & -4 & 0 \\ -2 & -6 & 4 & 0 \\ 2 & -3 & 3 & 2 \end{array}\right] ."/></p>.</p>
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<mattext texttype="text/html"><div class="exercise-statement">
<p>
<strong>G2.</strong>
</p>
<p>Show how to compute the determinant of the matrix </p>
<p style="text-align:center;"><img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?A=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%203%20&amp;%20-5%20&amp;%20-6%20&amp;%200%20%5C%5C%20-2%20&amp;%20-2%20&amp;%20-4%20&amp;%200%20%5C%5C%20-2%20&amp;%20-6%20&amp;%204%20&amp;%200%20%5C%5C%202%20&amp;%20-3%20&amp;%203%20&amp;%202%20%5Cend%7Barray%7D%5Cright%5D%20." alt="A= \left[\begin{array}{cccc} 3 &amp; -5 &amp; -6 &amp; 0 \\ -2 &amp; -2 &amp; -4 &amp; 0 \\ -2 &amp; -6 &amp; 4 &amp; 0 \\ 2 &amp; -3 &amp; 3 &amp; 2 \end{array}\right] ." title="A= \left[\begin{array}{cccc} 3 &amp; -5 &amp; -6 &amp; 0 \\ -2 &amp; -2 &amp; -4 &amp; 0 \\ -2 &amp; -6 &amp; 4 &amp; 0 \\ 2 &amp; -3 &amp; 3 &amp; 2 \end{array}\right] ." data-latex="A= \left[\begin{array}{cccc} 3 &amp; -5 &amp; -6 &amp; 0 \\ -2 &amp; -2 &amp; -4 &amp; 0 \\ -2 &amp; -6 &amp; 4 &amp; 0 \\ 2 &amp; -3 &amp; 3 &amp; 2 \end{array}\right] ."></p>.
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<response_str ident="response1" rcardinality="Single">
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<response_label ident="answer1" rshuffle="No"/>
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<div class="exercise-answer">
<h4>Partial Answer:</h4>
<p style="text-align:center;">
<img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?\operatorname{det}\ \left[\begin{array}{cccc} 3 & -5 & -6 & 0 \\ -2 & -2 & -4 & 0 \\ -2 & -6 & 4 & 0 \\ 2 & -3 & 3 & 2 \end{array}\right] = -448" alt="\operatorname{det}\ \left[\begin{array}{cccc} 3 & -5 & -6 & 0 \\ -2 & -2 & -4 & 0 \\ -2 & -6 & 4 & 0 \\ 2 & -3 & 3 & 2 \end{array}\right] = -448" title="\operatorname{det}\ \left[\begin{array}{cccc} 3 & -5 & -6 & 0 \\ -2 & -2 & -4 & 0 \\ -2 & -6 & 4 & 0 \\ 2 & -3 & 3 & 2 \end{array}\right] = -448" data-latex="\operatorname{det}\ \left[\begin{array}{cccc} 3 & -5 & -6 & 0 \\ -2 & -2 & -4 & 0 \\ -2 & -6 & 4 & 0 \\ 2 & -3 & 3 & 2 \end{array}\right] = -448"/>
</p>
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<mattext texttype="text/html"><div class="exercise-answer">
<h4>Partial Answer:</h4>
<p style="text-align:center;">
<img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?%5Coperatorname%7Bdet%7D%5C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%203%20&amp;%20-5%20&amp;%20-6%20&amp;%200%20%5C%5C%20-2%20&amp;%20-2%20&amp;%20-4%20&amp;%200%20%5C%5C%20-2%20&amp;%20-6%20&amp;%204%20&amp;%200%20%5C%5C%202%20&amp;%20-3%20&amp;%203%20&amp;%202%20%5Cend%7Barray%7D%5Cright%5D%20=%20-448" alt="\operatorname{det}\ \left[\begin{array}{cccc} 3 &amp; -5 &amp; -6 &amp; 0 \\ -2 &amp; -2 &amp; -4 &amp; 0 \\ -2 &amp; -6 &amp; 4 &amp; 0 \\ 2 &amp; -3 &amp; 3 &amp; 2 \end{array}\right] = -448" title="\operatorname{det}\ \left[\begin{array}{cccc} 3 &amp; -5 &amp; -6 &amp; 0 \\ -2 &amp; -2 &amp; -4 &amp; 0 \\ -2 &amp; -6 &amp; 4 &amp; 0 \\ 2 &amp; -3 &amp; 3 &amp; 2 \end{array}\right] = -448" data-latex="\operatorname{det}\ \left[\begin{array}{cccc} 3 &amp; -5 &amp; -6 &amp; 0 \\ -2 &amp; -2 &amp; -4 &amp; 0 \\ -2 &amp; -6 &amp; 4 &amp; 0 \\ 2 &amp; -3 &amp; 3 &amp; 2 \end{array}\right] = -448">
</p>
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