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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

`det(A+B)=det(A)+det(B)`

B

`det(A+B)=0`

C

A and B both are singular matrices

D

`A+B=0`

Text Solution

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The correct Answer is:
A, B
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