For invertible matrices, (AB)−1=B−1A−1 (reversal law for inverse) and (AB)′=B′A′ (reversal law for transpose). So statements (B) and (D) are correct.
Let X & Y be 2 invertible square matrix, then which of the following is true
(A) (AB)−1=A−1B−1
(B) (AB)−1=B−1A−1
(C) (AB)′=A′B′
(D) (AB)′=B′A′
Choose the answer from the options given below
Held on 11 Aug 2022 · Verified 13 Jul 2026.
(A) and (C) only
(C) and (D) only
(B) and (D) only
(B) and (C) only
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