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If A and B are two orthogonal matrices o...

If `A and B` are two orthogonal matrices of order n and `det (A) + det (B) = 0;` then which of the following must be correct ?

A

A+B =-I

B

A+B=I

C

det (A+B) =0

D

A+B=O

Text Solution

Verified by Experts

The correct Answer is:
C
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