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CUET · MATHS · PYQ PAPER 2025

Match List-I with List-II
List-I (Matrix)List-II (Inverse of the Matrix)
(A) \(\left[\begin{array}{cc}1 & 7 \\ 4 & -2\end{array}\right]\)(I) \(\left[\begin{array}{cc}2 / 15 & 1 / 10 \\ -1 / 15 & 1 / 5\end{array}\right]\)
(B) \(\left[\begin{array}{cc}6 & -3 \\ 2 & 4\end{array}\right]\)(II) \(\left[\begin{array}{cc}1 / 5 & -2 / 15 \\ -1 / 10 & 7 / 30\end{array}\right]\)
(C) \(\left[\begin{array}{cc}5 & 2 \\ -5 & 4\end{array}\right]\)(III) \(\left[\begin{array}{cc}\frac{1}{15} & \frac{7}{30} \\ 2 / 15 & -1 / 30\end{array}\right]\)
(D) \(\left[\begin{array}{ll}7 & 4 \\ 3 & 6\end{array}\right]\)IV) \(\left[\begin{array}{cc}2 / 15 & -1 / 15 \\ 1 / 6 & 1 / 6\end{array}\right]\)
Choose the correct answer from the options given below:

  1. A \((A) - (I), (B) - (II), (C) - (III), (D) - (IV)\)
  2. B \((A) - (I), (B) - (III), (C) - (II), (D) - (IV)\)
  3. C \((A) - (III), (B) - (I), (C) - (IV), (D) - (II)\)
  4. D \((A) - (III), (B) - (IV), (C) - (I), (D) - (II)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \((A) - (III), (B) - (I), (C) - (IV), (D) - (II)\)

Step-by-step Solution

Detailed explanation

\(A^{-1} = \frac{1}{(1)(-2)-(7)(4)} \left[\begin{array}{cc}-2 & -7 \\ -4 & 1\end{array}\right] = \frac{1}{-30} \left[\begin{array}{cc}-2 & -7 \\ -4 & 1\end{array}\right] = \left[\begin{array}{cc}1/15 & 7/30 \\ 2/15 & -1/30\end{array}\right]\) (A) - (III)…