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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

Verified by Experts

The correct Answer is:
A, B
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Knowledge Check

  • If A, B are two non-singular matrices of same order, then

    A
    AB is non - singular
    B
    AB is singular
    C
    `(AB)^(-1)=A^(-1)B^(-1)`
    D
    AB is not invertible

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