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Which of the following are correct? (A) For a square matrix A, if A³ = I, then A⁻¹ = A². (B) The determinant of only a square matrix can be defined.…

CUET UG 2025 — Mathematics Algebra

2025mcqmedium

Which of the following are correct?

(A) For a square matrix A, if A³ = I, then A⁻¹ = A².

(B) The determinant of only a square matrix can be defined.

(C) If A is a square matrix of order 3, then the number of minors of the matrix A is 3.

(D) If A and B are two non-singular matrices of the same order, then (AB)⁻¹ = B⁻¹A⁻¹.

Choose the correct answer from the options given below:

Official previous-year question

Held on 16 May 2025 · Verified 13 Jul 2026.

Options

  1. A

    (A), (B) and (D) only

  2. B

    (A), (B) and (C) only

  3. C

    (B) and (D) only

  4. D

    (C) and (D) only

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