Question: estion 9 (14 marks) nsider the complex matrix 2+ 2i A = 2 - 27 4 a) Show that A is a Hermitian matrix. b)

 estion 9 (14 marks) nsider the complex matrix 2+ 2i A

estion 9 (14 marks) nsider the complex matrix 2+ 2i A = 2 - 27 4 a) Show that A is a Hermitian matrix. b) Find the eigenvalues of A. c) Find the eigenspace corresponding to each eigenvalue of A. d) Find a unitary matrix U and a diagonal matrix D such that

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