Using Trace to Determine Orthogonality of Matrices

  • Thread starter Thread starter LocationX
  • Start date Start date
  • Tags Tags
    Trace
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
3 replies · 2K views
LocationX
Messages
141
Reaction score
0
Is there a way to use the trace of a matrix to find whether a set of matrices are orthogoal to one another?
 
Physics news on Phys.org
Is the trace the only thing known ?
You just have trace = x ?
 
Since tr(AB) = tr(BA) (sorry wrong terminology), so just apply the definition of an orthogonal matrix.
 
konthelion said:
Since tr(AB) = tr(BA) (sorry wrong terminology), so just apply the definition of an orthogonal matrix.

can you explain this further?