MHB Positive, definite matrix symmetric

kalish1
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Under which conditions is a real positive definite matrix symmetric?

I have crossposted here: http://math.stackexchange.com/questions/661102/positive-definite-matrix-symmetric
 
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As the comments on M.SE indicate, positive-definiteness and symmetry are independent properties. Therefore, I would just go back to the definition: $A=A^{T}$ for symmetry. If you have complex-valued matrices, then perhaps the Hermitian property is more appropriate: $A=A^{\dagger}$.
 

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