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QUESTION

Calculate the determinant of the matrix
$\textbf{A}=\left(\begin{array}{cccc}1&amp;0&amp;0&amp;0\\1&amp;2&amp;0&amp;1\\2&amp;0&amp;1&amp;2\\1&amp;3&amp;2&amp;0\end{array}\right)$.

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ANSWER

$\det\mathbf{A}=1\left|\begin{array}{ccc}2&amp;0&amp;1\\0&amp;1&amp;2\\3&amp;2&amp;0\end{array}\right|
=2\{1(0)-2(2)\}+0+1\{0(2)-1(3)\}=2(0-4)+1(0-3)=-8-3=-11$




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