# hermitian matrix versus unitary matrix

From [1]

"In linear algebra, a complex square matrix U is unitary if its conjugate transpose U* is also its inverse, that is, if $$U^{*}U=UU^{*}=I,$$, 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 $$U^{\dagger }U=UU^{\dagger }=I.$$ "

Are the terms Hermitian matrix' andunitary matrix' one and the same? If not, how are they different?

Bibliography

A hermitian Matrix $$H$$ has $$H = H^\dagger \neq I$$, where for a unitary matrix $$U$$ you have $$U^\dagger = U^{-1}\neq U$$.