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QUESTION

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

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ANSWER

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




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