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QUESTION

Evaluate the determinant of the matrix
$\left(\begin{array}{ccc}1&amp;1&amp;0\\2&amp;-1&amp;3\\-1&amp;0&amp;1\end{array}\right)$.

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ANSWER

$\det\left(\begin{array}{ccc}1&amp;1&amp;0\\2&amp;-1&amp;3\\-1&amp;0&amp;1\end{array}\right)=1(-1-0)+1(-3-2)+0=-1-5=-6$




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