self adjoint matrix
11AdjointandSelf-adjointMatrices.Inthischapter,Vdenotesafinitedimensionalinnerproductspace(unlessstatedother-wise).11.1Theorem(Riesz ...,,Inmathematics,aHermitianmatrix(orself-adjointmatrix)isacomplexsquarematrixthatisequaltoitsownconjugatetransp...
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AmatrixAinMn(F)iscalledsymmetricifAT=A,i.e.Aij=Ajiforeachi,j;andself-adjointifA∗=A,i.e.Aij=Ajioreachi,j.NoteforAin.
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