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If Aalpha=[cosalphasinalpha-sinalphacosa...

If `A_alpha=[cosalphasinalpha-sinalphacosalpha]` , then prove that `(A_alpha)^n=[cos n\ alphasinn\ alpha-sinn\ alpha cos n\ alpha]` for every positive integer `n` .

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
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