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Determinant

Find the valu...

Question

Find the value of determinant : $∣ ∣ ∣ ∣ \begin{matrix} 1 & 3 & 9 3 & 9 & 1 9 & 1 & 3 \end{matrix} ∣ ∣ ∣ ∣$

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Solution

$∣ ∣ ∣ ∣ \begin{matrix} 1 & 3 & 9 3 & 9 & 1 9 & 1 & 3 \end{matrix} ∣ ∣ ∣ ∣$
$= 1 (27 - 1) - 3 (9 - 9) + 9 (3 - 81)$
$= 26 - 0 - 702$
$= - 676$

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