A: ∣adj A∣=∣A∣n−1 - true.
B: ∣AB∣=∣A∣∣B∣=∣B∣∣A∣ - true.
C: adj(A′)=(adj A)′ - true.
D: adj(AB)=(adj B)(adj A), not (adj A)(adj B) - false.
E: ∣An∣=∣A∣n - true.
So A, B, C, E are correct.
If A and B are square matrices of same order n, then identify correct statements from the statements given below: A. |adjA| = |A|^n-1 B. |A · B| =…
CUET UG 2022 — Mathematics Algebra
2022mcqmedium
If A and B are square matrices of same order n, then identify correct statements from the statements given below:
A. ∣adj A∣=∣A∣n−1
B. ∣A⋅B∣=∣B∣⋅∣A∣
C. adj A′=(adj A)′
D. adj AB=(adj A)⋅(adj B)
E. ∣An∣=∣A∣n
Choose the correct answer from the options given below:
Official previous-year question
Held on 4 Aug 2022 · Verified 13 Jul 2026.
Options
- A
A and B only
- B
A, B and D only
- C
A, B, C and E only
- D
B and D only
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