Which of the Following Evaluates the Determinant $\left| \begin{array} { c c c } 6 & - 3 & 4 \\5 & 7 & - 5 \\8 & 2 & 6\end{array} \right|$

question 94

Multiple Choice

Which of the following evaluates the determinant $\left| \begin{array} { c c c } 6 & - 3 & 4 \\5 & 7 & - 5 \\8 & 2 & 6\end{array} \right|$ by expanding by row 2?

• A) \(- 5 \left| \begin{array} { c c }
• - 3 & 4 \\
• 2 & 6
• \end{array} \right| + 7 \left| \begin{array} { c c }
• 6 & 4 \\
• 8 & 6
• \end{array} \right| + 5 \left| \begin{array} { c c }
• 6 & - 3 \\
• 8 & 2
• \end{array} \right|\)
• B) \(\left| \begin{array} { c c }
• - 3 & 4 \\
• 2 & 6
• \end{array} \right| - 7 \left| \begin{array} { c c }
• 6 & 4 \\
• 8 & 6
• \end{array} \right| - 5 \left| \begin{array} { c c }
• 6 & - 3 \\
• 8 & 2
• \end{array} \right|\)
• C) \(- 5 \left| \begin{array} { c c }
• - 3 & 4 \\
• 2 & 6
• \end{array} \right| + 7 \left| \begin{array} { c c }
• 6 & 4 \\
• 8 & 6
• \end{array} \right| - 5 \left| \begin{array} { c c }
• 6 & - 3 \\
• 8 & 2
• \end{array} \right|\)
• D) none of these

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