Trace and orgononality

[LocationX]

Is there a way to use the trace of a matrix to find whether a set of matrices are orthogoal to one another?

 

[Ylle]

Is the trace the only thing known ?
You just have trace = x ?

 

[konthelion]

Since tr(AB) = tr(BA) (sorry wrong terminology), so just apply the definition of an orthogonal matrix.

 

[LocationX]

Since tr(AB) = tr(BA) (sorry wrong terminology), so just apply the definition of an orthogonal matrix.

can you explain this further?