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Transcription of this question: II.mark: 17]-2(a)(b)A and U are square matrices, and X = Use mathematical induction toprove that X” = U-l XU, for ne Z’Let A =31and U =(i)(ii)(iii)Find the matrix D such that AU = UDWrite down the matrixHence prove that .42″, for neZ*.Using the result from part (iii), show that = A”, for ne _[7 marks][10 marks]

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