CUET · MATHS · PYQ PAPER 2023
The value(s) of \(x\) for which the matrix \(A=\left[\begin{array}{ccc}x-1 & 1 & 1 \\ 1 & x-1 & 1 \\ 1 & 1 & x-1\end{array}\right]\) is singular, is/are :
- A 1
- B \(-1,2\)
- C \(\pm 1\)
- D 1, 2
Answer & Solution
Correct Answer
(B) \(-1,2\)
Step-by-step Solution
Detailed explanation
\(\det(A)=0\) \((x+1)(x-2)^2 = 0\) \(x+1=0 \implies x=-1\) \(x-2=0 \implies x=2\) \(x = -1, 2\)
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