Standard matrix transpose properties: (A′)′=A, (KA)′=KA′, (A+B)′=A′+B′=B′+A′ are all correct.
The correct rule is (AB)′=B′A′, not A′B′. Hence option 4 is incorrect.
CUET UG 2023 — Mathematics Algebra
Which of the following statements is incorrect regarding matrices ?
For any matrices A and B of suitable orders,
Held on 22 May 2023 · Verified 13 Jul 2026.
(A′)′=A
(KA)′=KA′ (Where K is any constant)
(A+B)′=B′+A′
(AB)′=A′B′
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