# Positive, definite matrix symmetric

#### Ackbach

##### Indicium Physicus
Staff member
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: $A=A^{\dagger}$.