A is correct: (AB)−1=B−1A−1 is a standard property. B is incorrect: (A+B)−1=B−1+A−1 in general. C is correct: adj(A)=∣A∣⋅A−1 follows from A⋅adj(A)=∣A∣I. D is correct: det(A−1)=1/det(A)=(detA)−1. So A, C and D only are correct.
Let A and B be two non-singular, square matrices of same order, and A. (AB)^-1 = B^-1 · A^-1 B. (A+B)^-1 = B^-1 + A^-1 C. adj. A = |A| · A^-1 D.…
CUET UG 2022 — Mathematics Algebra
2022mcqeasy
Let A and B be two non-singular, square matrices of same order, and
A. (AB)−1=B−1⋅A−1
B. (A+B)−1=B−1+A−1
C. adj.A=∣A∣⋅A−1
D. det(A−1)=[detA]−1
Choose the correct answer from the options given below
Official previous-year question
Held on 10 Aug 2022 · Verified 13 Jul 2026.
Options
- A
A and B only
- B
B and C only
- C
B and D only
- D
A, C and D only
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