Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If A is an 3 × 3 non-singular matrix such that AA ′ = A ′ A and B = A –1 A ′ , then BB ′ equals :
Text Solution
Verified by ExpertsThe correct answer is:
D
BB T = B(A –1 A T ) T
= B(A T ) T (A –1 ) T
= BA(A –1 ) T
= A –1 A T A(A –1 ) T
= A –1 AA T (A –1 ) T
= I A T (A –1 ) T
= A T (A –1 ) T
= A T (A T ) –1
= I
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