Evaluate the Determinant $\left| \begin{array} { r r r } - 1 & 5 & 1 \\- 5 & 1 & - 2 \\1 & 1 & 1\end{array} \right|$

question 9

Multiple Choice

Evaluate the determinant. $\left| \begin{array} { r r r } - 1 & 5 & 1 \\- 5 & 1 & - 2 \\1 & 1 & 1\end{array} \right|$

• A) 10
• B) -9
• C) 8
• D) 6
• E) -5

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Definitions:

Trans-1,3-cyclohexanedicarboxylic Acid

A type of dicarboxylic acid where the carboxyl groups are located on the first and third carbon atoms of a cyclohexane ring, in a trans configuration.

Carboxylic Acids

Organic compounds containing a carboxyl group (COOH), known for being acidic and reactive in condensation reactions.

Carboxyl Group

A functional group, written as -COOH, present in organic acids comprising a carbon atom double-bonded to an oxygen atom and singly bonded to a hydroxyl group.

Hydroxyl Group

A functional group (-OH) consisting of an oxygen atom bonded to a hydrogen atom, found in alcohols and phenols.