Evaluate the determinant. $$\left| \begin{array} { c c c }
7 & 1 & - 6 \
2 & 3 & 2 \
- 5 & 2 & 7
\end{array} \right|$$
A) -19
B) -52
C) 48
D) none of these

Question

Evaluate the determinant. $$\left| \begin{array} { c c c } 
7 & 1 & - 6 \
2 & 3 & 2 \
- 5 & 2 & 7
\end{array} \right|$$
A) -19
B) -52
C) 48
D) none of these

Quizplus · Accepted Answer

The determinant is evaluated as follows:$$\left| \begin{array} { c c c } 7 & 1 & - 6 \2 & 3 & 2 \- 5 & 2 & 7\end{array} \right| = 7\left| \begin{array} { c c } 3 & 2 \2 & 7\end{array} \right| - 1\left| \begin{array} { c c } 2 & 2 \- 5 & 7\end{array} \right| - 6\left| \begin{array} { c c } 2 & 3 \- 5 & 2\end{array} \right|$$$$= 7(21 - 4) - 1(14 + 10) - 6(4 + 15)$$$$= 7(17) - 1(24) - 6(19)$$$$= 119 - 24 - 114$$$$= -19$$

Evaluate the Determinant ∣71−6232−527∣\left| \begin{array} { c c c } 7 & 1 & - 6 \\2 & 3 & 2 \\- 5 & 2 & 7\end{array} \right|​72−5​132​−627​​

Evaluate the Determinant $\left| \begin{array} { c c c } 7 & 1 & - 6 \\2 & 3 & 2 \\- 5 & 2 & 7\end{array} \right|$