Find the value of the determinant.
-$$\left| \begin{array} { l l }
- 5 & - 3 \
b & a
\end{array} \right|$$
A) $- 5 a + 3 b$
B) ba - 15
C) $15 - a b$
D) $5 a - 3 b$

Question

Find the value of the determinant.
-$$\left| \begin{array} { l l } 
- 5 & - 3 \
b & a
\end{array} \right|$$
A) $- 5 a + 3 b$
B) ba - 15
C) $15 - a b$
D) $5 a - 3 b$

Quizplus · Accepted Answer

The determinant of a 2x2 matrix $\left| \begin{array} { l l } a & b \ c & d \end{array} \right|$ is calculated as $ad - bc$. Applying this formula to the given matrix, we get $(-5 \cdot a) - (-3 \cdot b) = -5a + 3b$.

Find the Value of the Determinant ∣−5−3ba∣\left| \begin{array} { l l } - 5 & - 3 \\b & a\end{array} \right|​−5b​−3a​​

Find the Value of the Determinant $\left| \begin{array} { l l } - 5 & - 3 \\b & a\end{array} \right|$