If the matrix \(A=\begin{bmatrix}2-x & 3\\ 2 & 1-x\end{bmatrix}\) is singular, then value(s) of x are:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → −1, 4
A matrix is singular when its determinant is zero:
\((2 - x)(1 - x) - 3 \times 2 = 0\)
\(x^2 - 3x + 2 - 6 = 0\)
\(x^2 - 3x - 4 = 0\)
\((x - 4)(x + 1) = 0\)
So x = 4 or x = −1.