Evaluate 265 240 219 240 225 198 219 198 181-

We have, #10; #10; #160; 265 amp; 240 amp; 219 240 amp; 225 amp; 198 219 amp; 198 amp; 181 . #10; #10;On Expanssion ...

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Byju's Answer

Standard XII

Mathematics

Definition of a Determinant

Evaluate 26...

Question

Evaluate
$∣ ∣ ∣ ∣ \begin{matrix} 265 & 240 & 219 240 & 225 & 198 219 & 198 & 181 \end{matrix} ∣ ∣ ∣ ∣$ .

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Solution

We have,

$∣ ∣ ∣ ∣ \begin{matrix} 265 & 240 & 219 240 & 225 & 198 219 & 198 & 181 \end{matrix} ∣ ∣ ∣ ∣$ .

On Expanssion with row and we get,

$265 (225 \times 181 - 198 \times 198) - 240 (240 \times 181 - 219 \times 198) + 219 (240 \times 198 - 225 \times 219)$

$\Rightarrow 265 (40725 - 39204) - 240 (43440 - 43362) + 219 (47520 - 49275)$

$\Rightarrow 265 \times 1521 - 240 \times 78 + 219 \times (- 1755)$

$\Rightarrow 403065 - 18720 - 384345$

$\Rightarrow 0$

Hence, this is the answer.

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Evaluate ∣∣ ∣∣265240219240225198219198181∣∣ ∣∣.

Evaluate
$∣ ∣ ∣ ∣ \begin{matrix} 265 & 240 & 219 240 & 225 & 198 219 & 198 & 181 \end{matrix} ∣ ∣ ∣ ∣$ .