Find the determinant of the matrix. $$\left[ \begin{array} { c c }
2 & - 2 \
8 & - 16
\end{array} \right]$$
A) $- \frac { 1 } { 16 }$
B) $\frac { 1 } { 16 }$
C)0
D)16
E) $- 16$

Question

Find the determinant of the matrix.​ $$\left[ \begin{array} { c c } 
2 & - 2 \
8 & - 16
\end{array} \right]$$ ​
A) $- \frac { 1 } { 16 }$
B) $\frac { 1 } { 16 }$
C)0
D)16
E) $- 16$

Quizplus · Accepted Answer

The determinant of a 2x2 matrix $\left[ \begin{array}{cc} a & b \ c & d \end{array} \right]$ is calculated as $ad - bc$. For the given matrix, this results in $2 \times (-16) - (-2) \times 8 = -32 + 16 = -16$.

Find the Determinant of the Matrix [2−28−16]\left[ \begin{array} { c c } 2 & - 2 \\8 & - 16\end{array} \right][28​−2−16​]

Find the Determinant of the Matrix $\left[ \begin{array} { c c } 2 & - 2 \\8 & - 16\end{array} \right]$