Find the value of the determinant.
-$$\left| \begin{array} { c r }
12 & - 7 \
- 4 & 3
\end{array} \right|$$
A) 64
B) 4
C) 8
D) $- 8$

Question

Find the value of the determinant.
-$$\left| \begin{array} { c r } 
12 & - 7 \
- 4 & 3
\end{array} \right|$$
A) 64
B) 4
C) 8
D) $- 8$

Quizplus · Accepted Answer

The determinant of a 2x2 matrix is calculated as $ad - bc$, where $a, b, c,$ and $d$ are the elements of the matrix starting from the top left and moving clockwise. Thus, for the given matrix, the determinant is $12*3 - (-7)*(-4) = 36 - 28 = 8$.

Find the Value of the Determinant ∣12−7−43∣\left| \begin{array} { c r } 12 & - 7 \\- 4 & 3\end{array} \right|​12−4​−73​​

Find the Value of the Determinant $\left| \begin{array} { c r } 12 & - 7 \\- 4 & 3\end{array} \right|$