Solve this following

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 .

$|A|=0$

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