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?


[1] https://en.wikipedia.org/wiki/Unitary_matrix


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

They are the complex analogous to "symmetrical" and "orthogonal"


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