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