Evaluate the determinant.
-$$\left| \begin{array} { c c }
\frac { 1 } { 5 } & - \frac { 1 } { 10 } \
10 & 5
\end{array} \right|$$
A)-2
B)0
C)2
D) $\frac { 5 } { 2 }$

Question

Evaluate the determinant.
-$$\left| \begin{array} { c c } 
\frac { 1 } { 5 } & - \frac { 1 } { 10 } \
10 & 5
\end{array} \right|$$
A)-2
B)0
C)2
D) $\frac { 5 } { 2 }$

Quizplus · Accepted Answer

The determinant of a 2x2 matrix $\left| \begin{array} { c c } a & b \ c & d \end{array} \right|$ is calculated as $ad - bc$. For this matrix, $a = \frac{1}{5}$, $b = -\frac{1}{10}$, $c = 10$, and $d = 5$. Thus, the determinant is $\frac{1}{5} \cdot 5 - (-\frac{1}{10} \cdot 10) = 1 + 1 = 2$.

Evaluate the Determinant ∣15−110105∣\left| \begin{array} { c c } \frac { 1 } { 5 } & - \frac { 1 } { 10 } \\10 & 5\end{array} \right|​51​10​−101​5​​

Evaluate the Determinant $\left| \begin{array} { c c } \frac { 1 } { 5 } & - \frac { 1 } { 10 } \\10 & 5\end{array} \right|$