मराठी

Evaluate the Following Determinant: ∣ ∣ ∣ ∣ 67 19 21 39 13 14 81 24 26 ∣ ∣ ∣ ∣

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प्रश्न

Evaluate the following determinant:

\[\begin{vmatrix}67 & 19 & 21 \\ 39 & 13 & 14 \\ 81 & 24 & 26\end{vmatrix}\]

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उत्तर

\[ ∆ = \begin{vmatrix}67 & 19 & 21 \\ 39 & 13 & 14 \\ 81 & 24 & 26\end{vmatrix}\]
\[ = 67\left( 338 - 336 \right) - 19\left( 1014 - 1134 \right) + 21\left( 936 - 1053 \right)\]
\[ = 67(2) - 19( - 120) + 21( - 117)\]
\[ = 134 + 2280 - 2457\]
\[ = - 43\]

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पाठ 5: Determinants - Exercise 6.2 [पृष्ठ ५७]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 5 Determinants
Exercise 6.2 | Q 1.2 | पृष्ठ ५७
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