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Transcription of this question: 12.[Maximum mark: 201aLet M2 = M where Mbd(b)(c)(d)(e)c(i) Show that a + d 1.(ii) Find an expression for bc in terms Of a.Hence show that M is a singular matrix.If all Ofthe elements Of M are positive, find the range Of possible values for a.Show that (I —M)2 I —M where I is the identity matrix.Prove by mathematical induction that (I — M)’ = I— M for ne T.[5 marks][3 marks/[3 marks/[3 marks/[6 marks]

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