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Let X & Y be 2 invertible square matrix, then which of the following is true (A) (AB)^-1 = A^-1 B^-1 (B) (AB)^-1 = B^-1 A^-1 (C) (AB)' = A' B' (D)…

CUET UG 2022 — Mathematics Applied-Mathematics

2022mcqeasy

Let X & Y be 2 invertible square matrix, then which of the following is true
(A) (AB)−1=A−1B−1(AB)^{-1} = A^{-1} B^{-1}(AB)−1=A−1B−1
(B) (AB)−1=B−1A−1(AB)^{-1} = B^{-1} A^{-1}(AB)−1=B−1A−1
(C) (AB)′=A′B′(AB)' = A' B'(AB)′=A′B′
(D) (AB)′=B′A′(AB)' = B' A'(AB)′=B′A′

Choose the answer from the options given below

Official previous-year question

Held on 11 Aug 2022 · Verified 13 Jul 2026.

Options

  1. A

    (A) and (C) only

  2. B

    (C) and (D) only

  3. C

    (B) and (D) only

  4. D

    (B) and (C) only

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