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What is the Value of the Determinant ∣ ∣ ∣ ∣ 0 2 0 2 3 4 4 5 6 ∣ ∣ ∣ ∣ ? - Mathematics

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Question

What is the value of the determinant \[\begin{vmatrix}0 & 2 & 0 \\ 2 & 3 & 4 \\ 4 & 5 & 6\end{vmatrix} ?\]

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Solution

\[\begin{vmatrix}0 & 2 & 0 \\ 2 & 3 & 4 \\ 4 & 5 & 6\end{vmatrix}\] 
\[ = 0(18 - 20) - 2(12 - 16) + 0(10 - 12)\] 
\[ = 8\]

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Chapter 6: Determinants - Exercise 6.6 [Page 91]

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RD Sharma Mathematics [English] Class 12
Chapter 6 Determinants
Exercise 6.6 | Q 40 | Page 91
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