CUET · MATHS · PYQ PAPER 2023
If the matrix \(A=\left[\begin{array}{cc}2-x & 3 \\ 2 & 1-x\end{array}\right]\) is singular, then value(s) of \(x\) are :
- A 1,4
- B \(-1,4\)
- C \(1,-4\)
- D \(2,-2\)
Answer & Solution
Correct Answer
(B) \(-1,4\)
Step-by-step Solution
Detailed explanation
A is singular if \( \det(A) = 0 \). \((2-x)(1-x) - (3)(2) = 0\) \(2 - 3x + x^2 - 6 = 0\) \(x^2 - 3x - 4 = 0\) \((x-4)(x+1) = 0\) \(x = 4, -1\)
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