HermitianMatrixQ
HermitianMatrixQ[m] gives True if m is explicitly Hermitian (equal to its conjugate transpose), and False otherwise.
Examples
Test for Hermitian matrix:
HermitianMatrixQ[{{1, I}, {-I, 2}}]
(* True *)Non-Hermitian matrix:
HermitianMatrixQ[{{1, 2}, {3, 4}}]
(* False *)Please visit the official Wolfram Language Reference for more details.