Alongwithnecessariesappliedandthegoingdeeplyintotheresearch,thattheuni-tarymatrixandHermitematrixarepopularizedinmanykinds,andinthispaperuni-versalunitarymatrixanduniversal(oblique)Hermitematrixarestudiedfurther,andthismustbeusefulformatrixtheoryandapplications(likeoptimizationtheory,symplecticgeometryandphysicsetc).Inthepaper,Cm×nshowsm×ncompoundmatrixset,Cnm×nshowsnstepcompoundinvertiblematrixset,A*showsconjugatetransposematrixofA,