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Engineering Mathematics

Determinants Method

The value of ...

Question

The value of following determinant $∣ ∣ ∣ ∣ \begin{matrix} 1 & 4 & 9 4 & 9 & 16 9 & 16 & 25 \end{matrix} ∣ ∣ ∣ ∣$

A

8

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B

12

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C

-12

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D

-8

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Solution

The correct option is D -8
$| A | = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 4 & 9 4 & 9 & 16 9 & 16 & 25 \end{matrix} ∣ ∣ ∣ ∣$
$= 1 (225 - 256) - 4 (100 - 144) + 9 (64 - 81)$
= -8

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