From Wikipedia:
In linear algebra, a complex square matrix $U$ is unitary if its conjugate transpose $U^*$ is also its inverse, that is, if $U^{*} U = U U^{*}=I,$, where $I$ is the identity matrix. In physics, especially in quantum mechanics, the Hermitian adjoint of a matrix is denoted by a dagger ($\dagger$) and the equation above becomes $U^{\dagger} U = U U^{\dagger }=I.$
Are the terms "Hermitian matrix" and "unitary matrix" one and the same? If not, how are they different?