The value of x for which the matrix $\begin{vmatrix}-x&x&2\\2&x&-x\\x&-2&-x\end{vmatrix}$ will be non-singular, are
Answer & explanation
Correct answer: option 2
The given matrix will be non-singular, if
$⇒\begin{vmatrix}-x&x&2\\2&x&-x\\x&-2&-x\end{vmatrix}≠0$
$⇒-x(-x^2-2x) -x (-2x+x^2)+2(-4-x^2) ≠0$
$⇒2x^2-8≠0⇒ x ≠ ±2$