CET 3464 Lecture 10: 0JW6qn13NVCb

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Date ain a20 ! annd dm(a) = det ut av dn-mt d. (a) --dm(a) ditx tx = dit x*ax & ddo-mi- dn(a) det xy. And:- alt acmn be positive semidefinite and let me ,2-ng no het ve mmxm have otthonormal norms then, d. (a). E ani anz ang then the eigen value is as, d, gdy - adm. trace=aut azz tazzt - fana determinant of a: qy q22033 - then eigen value of. Azd, ca), d (a) -dn (a) ): but determinant the product of diagonal enteres so it will be greater than the eigen value wall dica) dmcals det u* av. And da-ahca) the eigin value of both min mateix so, it will be greater then the determinant. Hence, det v*avis damt(a) then, from @ and equations, we have it ont di (a) an(a), if xe mam such that ann b teacher"s signature