Compute the determinant of the given matrix.
$\left[ \begin{array} { l l }
3 & - 1 \
5 & - 5
\end{array} \right]$
A)26
B) -10
C) 25
D) -1
E) 1

Name: Compute the determinant of the given matrix. $\left[ \begin{array} { l l } 3 & - 1 \\ 5 & - 5 \end{array} \right]$ A)26 B) -10 C) 25 D) -1 E) 1
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Question

Compute the determinant of the given matrix.   
$\left[ \begin{array} { l l } 
3 & - 1 \
5 & - 5
\end{array} \right]$  
A)26
B)  -10
C) 25
D) -1
E) 1

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 the given matrix, this results in $3(-5) - (-1)(5) = -15 + 5 = -10$.

Compute the Determinant of the Given Matrix [3−15−5]\left[ \begin{array} { l l } 3 & - 1 \\5 & - 5\end{array} \right][35​−1−5​]

Compute the Determinant of the Given Matrix $\left[ \begin{array} { l l } 3 & - 1 \\5 & - 5\end{array} \right]$