Question: Question - Let A be a Hermitian matrix with eigenvalues 1, 2 12 2 . .... > An and orthonormal eigenvectors U, , - .....

Question - Let A be a Hermitian matrix with eigenvalues 1, 2 12 2 . .... > An and orthonormal eigenvectors U, , - ..... Un . for any nonzero vector x in RD the Rayleigh quotient p( x) is defined by . x "Ax p ( x ) = = { x , > > ( a) 16 x = C,u, + -. - - - + (nun, show shad PM ) = ticn) In 11 cl12 ( b ) show that An , and mcn perl = In X #0' X 70

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