CUET · MATHS · PYQ PAPER 2025
If \(C_{i j}\) represents the cofactor of element \(a_{i j}\) of the matrix \(A=\left[\begin{array}{ccc}2 & -1 & 3 \\ 1 & 2 & 0 \\ 4 & 1 & 5\end{array}\right]\), then the value of \(C_{23}+C_{31}-C_{22}\) is
- A 14
- B \(-4\)
- C \(-10\)
- D 8
Answer & Solution
Correct Answer
(C) \(-10\)
Step-by-step Solution
Detailed explanation
\(C_{23} = (-1)^{2+3} \det\left[\begin{array}{cc}2 & -1 \\ 4 & 1\end{array}\right] = -1(2 - (-4)) = -6\) \(C_{31} = (-1)^{3+1} \det\left[\begin{array}{cc}-1 & 3 \\ 2 & 0\end{array}\right] = 1(0 - 6) = -6\)…
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