Question

The value of x where $\begin{bmatrix}6&x-2\\\ 3&x\end{bmatrix}$, has no inverse is :

• A. -2
• B. 2
• C. 0
• D. 3

Answer 1

Answer: (A)

-2

Answer 2

A has no inverse $\Rightarrow \ |A| = 0$ i.e., $\begin{vmatrix}6&x-2\\\ 3&x\end{vmatrix} = 0$ $\Rightarrow \ 6x - 3x + 6 = 0$ $\Rightarrow \ 3x + 6 = 0 \ \Rightarrow \ x = - 2$