In linear algebra, complex square matrix U yog unitary yog nws conjugate transpose U kuj yog nws inverse, uas yog, yog hais tias qhov twg kuv yog tus kheej matrix.
piv txwv matrix unitary yog dab tsi?
Ib qho kev sib txuas ntawm tus lej yog tus lej nrog qhov sib npaug ntawm qhov tseeb thiab qhov xav txog, sib npaug ntawm qhov loj, tab sis qhov sib txawv ntawm qhov kos npe. Piv txwv li, lub kev sib txuas ntawm X + iY yog X-iYYog tias qhov sib txuas ntawm cov square matrix yog sib npaug rau nws qhov thim rov qab, ces nws yog ib qho matrix.
Dab tsi yog qhov sib koom ua ke matrix?
A unitary matrix yog a complex square matrix uas nws kab (thiab kab) yog orthonormal. Nws muaj cov cuab yeej zoo kawg li uas nws qhov kev hloov pauv yog sib npaug rau nws txoj kev sib txuas. Unitary matrix uas nws nkag yog txhua tus lej tiag yog hais tias yog orthogonal.
Unitary matrix formula yog dab tsi?
Definition. A complex matrix U yog unitary if UU∗=I. Daim ntawv ceeb toom tias yog U tshwm sim los ua ib lub matrix tiag, U∗=UT, thiab qhov sib npaug hais tias UUT=I - uas yog, U yog orthogonal. Hauv lwm lo lus, unitary yog qhov nyuaj analog ntawm orthogonal.
Puas yog cov matrix ib txwm muaj?
Ib lub matrix yog ib lub matrix uas nws inverses nws conjugate transpose. Unitary matrices yog cov complex analogue ntawm tiag tiag orthogonal matrices. … U yog ib txwm matrix nrog eigenvalues dag ntawm chav tsev.