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...Lecture eigenvaluesand eigenvectors prof n harnew university of oxford mt outline eigenvaluesandeigenvectors eigenvalue equations eigenvalues inverse matrix finding and example an hermitian prove the are real orthogonal alinear operator a transforms vector xi into another components dened with respect to somen dimensional basis vectors aneigenvalue equation is one that as where just number can be complex ahastransformed multiple itself eigenvector theoperator will have in general series xji j write form ax x qm often deal normalized hx t conjugate continued ix i unit asetoflinear simultaneous degree homogeneousequations only non trivial solution zero if determinant...