(A) 34=81, true.
(B) (A+A′)′=A′+A=A+A′, so symmetric, not skew. False.
(C) A⋅A−1=I, not 0. False.
(D) Definition of skew symmetric. True.
(E) (AB)′=B′A′, not A′B′. False.
So (A) and (D) only.
CUET UG 2022 — Mathematics Algebra
Let A=(aij) and B=(bij) are square matrices of same order.
(A) The number of possible matrices of order 2×2 with entries −1,0,1 is 81.
(B) A+A′ is skew symmetric matrix
(C) A⋅A−1=0, ∣A∣=0
(D) A is skew symmetric matrix if aij=−aji for all i,j
(E) (AB)′=A′B′
Choose the correct answer from the options given below :
Held on 7 Aug 2022 · Verified 13 Jul 2026.
(B) and (D) only
(A), (D), (E) only
(B) and (E) only
(A) and (D) only
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