A Hermitian matrix is a matrix that is equal to its conjugate transpose. This generalizes the concept of a "symmetric matrix", since every real symmetric matrix is Hermitian. However, …

In any reasonable sense, symmetric=hermitian=self-adjoint. For genuinely unbounded operators, symmetric does not imply self-adjoint, and, unless the thing is already self-adjoint, its adjoint is …

Sep 26, 2019 · Thanks! This makes more sense, I forgot A and B were also hermitian in this problem. I appreciate the additional elaboration.

Jun 24, 2016 · Hermitian operators (or more correctly in the infinite dimensional case, self-adjoint operators) are used not because measurements must use real numbers, but rather because …

Hermitian matrices are precisely the matrices admitting a complete set of orthonormal eigenvectors such that the corresponding eigenvalues are real. So unitary Hermitian matrices …

Suppose there is a hermitian matrix. Then, Can we always find out orthonormal basis for this matrix ? And, Is there any relationship between hermitian matrix and hermitian transformation? …

A sesquilinear form with the property $\langle x,y\rangle = \overline {\langle y,x \rangle}$ is called hermitian. Since we have extra terminology it would seem that one would define a sesquilinear …

Aug 19, 2013 · Prove AB is hermitian if A is hermitian and B is hermitian Ask Question Asked 12 years, 3 months ago Modified 12 years, 3 months ago

Jul 23, 2015 · @OpenSeason Maybe quicker: any Hermitian matrix can be diagonalized. It's obvious for diagonal matrices..

With entries strictly in $\mathbb {R}$, Hermitian matrices are just symmetric matrices so your basis is correct and is indeed the very one for symmetric matrices. However, the problem …