(A) ∣A′∣=∣A∣ is true. (B) For 3×3, ∣4A∣=43∣A∣=64∣A∣, true. (D) det(A−1)=1/det(A), true.
(C) Correct relation is ∣adjA∣=∣A∣n−1, not ∣A∣=∣adjA∣n−1. False.
So (A), (B), (D) only.
Which of the following statements are correct ? (A) |A'| = |A|, where A is the transpose of matrix A (B) If A = [a_ij]_3 × 3, then |4A| = 64|A| (C)…
CUET UG 2023 — Mathematics Algebra
2023mcqmedium
Which of the following statements are correct ?
(A) ∣A′∣=∣A∣, where A is the transpose of matrix A
(B) If A=[aij]3×3, then ∣4A∣=64∣A∣
(C) ∣A∣=∣adj A∣n−1, where n is the order of the matrix
(D) If A is an invertible matrix of order 2, then det(A−1) is equal to det(A)1
Choose the correct answer from the options given below :
Official previous-year question
Held on 22 May 2023 · Verified 13 Jul 2026.
Options
- A
(A), (B), (D) Only
- B
(A), (C) Only
- C
(A), (B), (C) Only
- D
(A), (D) Only
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