Home Maths Matrices and Determinants Telangana & AP CET Previous Year Question Let be two matrices and be a unit matrix…
Maths Matrices and Determinants Telangana & AP CET Previous Year Question Single Correct MCQ
Published on: August 13, 2026

Let be two matrices and be a unit matrix such that is a non-singular matrix. Let . Then, consider the following statements.
Statement I :
Statement II : ABD = DAB
Which of the above statements is (are) true?

A
Statement I is true, but Statement II is false
B
Statement II is true, but Statement I is false
C
Both Statement I and Statement II are true
D
Both Statement I and Statement II are false

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Text Solution

Verified by Experts
The correct answer is:
C

Let
and
(given)
now
is a non-singular matrix.

Statement

hence statement- 1 is true.
Statement

This shows statement 2 is true. Hence option is True.

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