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If A and B are invertible matrices of same order, then which one of the following is NOT true?

CUET UG 2025 — Mathematics Algebra

2025mcqmedium

If A and B are invertible matrices of same order, then which one of the following is NOT true?

Official previous-year question

Held on 13 May 2025 · Verified 13 Jul 2026.

Options

  1. A

    (AB)−1=B−1A−1(AB)^{-1} = B^{-1}A^{-1}(AB)−1=B−1A−1

  2. B

    adj(AB)=(adjA)(adjB)adj(AB) = (adj A)(adj B)adj(AB)=(adjA)(adjB)

  3. C

    adjAT=(adjA)Tadj A^T = (adj A)^TadjAT=(adjA)T

  4. D

    ∣A−1∣=(∣A∣)−1|A^{-1}| = (|A|)^{-1}∣A−1∣=(∣A∣)−1

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