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If A = … and B = …, then which of the following statements are TRUE? (A) AB is defined (B) AB and BA both are defined and AB = I, where I is an…

CUET UG 2025 — Mathematics Algebra

2025mcqmedium

If A=[2134−35]A = \begin{bmatrix} 2 & 1 & 3 \\ 4 & -3 & 5 \end{bmatrix}A=[24​1−3​35​] and B=[−234−512]B = \begin{bmatrix} -2 & 3 \\ 4 & -5 \\ 1 & 2 \end{bmatrix}B=​−241​3−52​​, then which of the following statements are TRUE?

(A) AB is defined

(B) AB and BA both are defined and AB = I, where I is an identity matrix of order 2

(C) BA is defined

(D) AB and BA both are defined and AB = BA

Choose the correct answer from the options given below:

Official previous-year question

Held on 19 May 2025 · Verified 13 Jul 2026.

Options

  1. A

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

  2. B

    (B), (C) and (D) only

  3. C

    (A) and (C) only

  4. D

    (A), (C) and (D) only

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