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Question

Question: The value of the determinant \(\left| \begin{matrix} 2 & 8 & 4 \\ - 5 & 6 & - 10 \\ 1 & 7 & 2 \end{...

The value of the determinant $\left| \begin{matrix} 2 & 8 & 4 \

  • 5 & 6 & - 10 \ 1 & 7 & 2 \end{matrix} \right|$is.
A

– 440

B

0

C

328

D

488

Answer

0

Explanation

Solution

$\left| \begin{matrix} 2 & 8 & 4 \

  • 5 & 6 & - 10 \ 1 & 7 & 2 \end{matrix} \right| = 2\left| \begin{matrix} 2 & 8 & 2 \
  • 5 & 6 & - 5 \ 1 & 7 & 1 \end{matrix} \right| = 0$

(Taking 2 common from C3C_{3}).