Antima Jangid posted an Question
January 04, 2022 • 06:45 am 30 points
  • IIT JAM
  • Mathematics (MA)

10. let m be an nxn hermitian matrix of rank k,k # n. lf a #0 is an eigen value of m with corresponding unit eolumn vectoru, with mu = u, then which of the foll

10. Let M be an nxn Hermitian matrix of rank k,k # n. lf A #0 is an Eigen value of M with corresponding unit eolumn vectoru, with Mu = u, then which of the following are true? (a)rank (M-A -1 (b) rank (M -Auu') =k (c) rank (M - Auu)=k+1 (d) (M -iuu" = M" -2'ui

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