If $A=\begin{bmatrix}-2 & 3\\k &

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If $A=\begin{bmatrix}-2 & 3\\k & 4\end{bmatrix}$ is a singular matrix then value of k is :

Options:

$k=\frac{8}{3}$

$k=-\frac{8}{3}$

$k=-\frac{3}{8}$

$k=\frac{3}{8}$

Correct Answer:

$k=-\frac{8}{3}$

Explanation:

The correct answer is Option (2) → $k=-\frac{8}{3}$

$A=\begin{bmatrix}-2 & 3\\k & 4\end{bmatrix}$

A → singular

$|A|=0$

$⇒-8-3k=0$

so $k=-\frac{8}{3}$