(A) is wrong; the correct formula is A−1=∣A∣adj A. (B) is correct since ∣A−1∣=1/∣A∣. (C) is correct: (BA)(A−1B−1)=B(AA−1)B−1=I, so (BA)−1=A−1B−1. (D) has a malformed expression. So (B) and (C) only.
Identify the correct statements. (A) If A is a non-singular matrix, then A^-1 = |A| ( adj A) (B) If A is an invertible matrix then 1 |A^-1| = |A| (C)…
CUET UG 2022 — Mathematics Algebra
2022mcqmedium
Identify the correct statements.
(A) If A is a non-singular matrix, then A−1=(adj A)∣A∣
(B) If A is an invertible matrix then ∣A−1∣1=∣A∣
(C) If A and B are two invertible matrices of the same order then AB is also invertible matrix and (BA)−1=A−1B−1
(D) If A is an invertible matrix, then AT is also invertible and (AT)−1=(A−1)T1
Choose the correct answer from the options given below :
Official previous-year question
Held on 17 Aug 2022 · Verified 13 Jul 2026.
Options
- A
(B) and (C) only
- B
(B) only
- C
(C) and (D) only
- D
(A) and (D) only
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