Question:
If $A=\left(\begin{array}{ccc}1 & k & 3 \\ 3 & k & -2 \\ 2 & 3 & -4\end{array}\right)$ is singular then $k=?$
A. $\frac{16}{3}$
B. $\frac{34}{3}$
C. $\frac{33}{2}$
D. none of these
Solution:
When a given matrix is singular then the given matrix determinant is 0 .
$|A|=0$