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Under what conditions does a diagonal tensor remain diagonal after a coordinate rotation C. If $ A_{11}=A_{22}=A_{33}$. what has to be true about C for A' to be diagonal

Abigail
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    If $A$ is a diagonal matrix with $A_{11} = A_{22} = A_{33}$ then $A = \alpha I$, i.e. $UAU^{-1} = A$. – Jacky Chong Oct 30 '16 at 22:38
  • What would happen if the diagonal components were not equal, can A still be diagonal after a coordinate rotation – Abigail Nov 01 '16 at 19:49

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