On a finite-dimensional complex inner product space, they define a self- adjoint operator.
On a finite-dimensional complex inner product space, they define a self- adjoint operator. They are normal, so they can contain complex entries, but diagonalizing them with a unitary matrix results in only real entries. All of their eigenvalues must be real, and their corresponding eigenvectors are orthogonal. The entries on the main diagonal must always be real, and the special case in which all entries are real is a symmetric matrix. FTP, identify this type of matrix that is equal to its own conjugate transpose.
On a finite-dimensional complex inner product space, they define a self- adjoint operator.
{Hermitian} matrix