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Determinant

Evaluate : 2...

Question

Evaluate :
$∣ ∣ ∣ ∣ \begin{matrix} 2 & 3 & - 5 7 & 1 & - 2 - 3 & 4 & 1 \end{matrix} ∣ ∣ ∣ ∣$

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Solution

$∣ ∣ ∣ ∣ \begin{matrix} 2 & 3 & - 5 7 & 1 & - 2 - 3 & 4 & 1 \end{matrix} ∣ ∣ ∣ ∣ = 2 (1 + 8) - 3 (7 - 6) - 5 (28 + 3) = 18 - 3 - 155 = - 140$ .

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