AP EAMCET · Maths · Determinants
The values of \(x\) for which the given matrix \(\left[\begin{array}{ccc}-x & x & 2 \\ 2 & x & -x \\ x & -2 & -2\end{array}\right]\) will be non-singular are
- A \(-2 \leq x \leq 2\)
- B for all \(x\) other than 2 and -2
- C \(x \geq 2\)
- D \(x \leq-2\)
Answer & Solution
Correct Answer
(B) for all \(x\) other than 2 and -2
Step-by-step Solution
Detailed explanation
Let \(A=\left[\begin{array}{ccc}-x & x & 2 \\ 2 & x & -x \\ x & -2 & -2\end{array}\right]\) \(A\) is non-singular matrix,…
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