For what value of k, the matrix A $=\begin{bmatrix}1 & 3 \\ k & 4\end{bmatrix}$ is singular ?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $\frac{4}{3}$
for A to be singular
$|A|=0$
$⇒\begin{bmatrix}1 & 3 \\ k & 4\end{bmatrix}=0$
$⇒4-3k=0$
$⇒k=\frac{4}{3}$