Find the determinant of the given matrix.
-$$\left[ \begin{array} { r r r }
6 & - 3 & 6 \
0 & 9 & 3 \
0 & 0 & - 4
\end{array} \right]$$
A) $- 216$
B) 207
C) 216
D) $- 225$

Question

Find the determinant of the given matrix.
-$$\left[ \begin{array} { r r r } 
6 & - 3 & 6 \
0 & 9 & 3 \
0 & 0 & - 4
\end{array} \right]$$
A) $- 216$
B) 207
C) 216
D) $- 225$

Quizplus · Accepted Answer

The determinant of a triangular matrix (either upper or lower triangular) is the product of its diagonal elements. Thus, the determinant of the given matrix is $6 \times 9 \times (-4) = -216$.

Find the Determinant of the Given Matrix [6−3609300−4]\left[ \begin{array} { r r r } 6 & - 3 & 6 \\0 & 9 & 3 \\0 & 0 & - 4\end{array} \right]​600​−390​63−4​​

Find the Determinant of the Given Matrix $\left[ \begin{array} { r r r } 6 & - 3 & 6 \\0 & 9 & 3 \\0 & 0 & - 4\end{array} \right]$