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If A=[cosalpha+sinalpha,sqrt(2)sinalpha;...

If `A=[cosalpha+sinalpha,sqrt(2)sinalpha; -sqrt(2)sinalpha,cosalpha-sinalpha]` , prove that `A^n=[cosn\ alpha+sinn\ alpha, sqrt(2)sinn\ alpha; -sqrt(2)sinn\ alpha, cosn\ alpha-sinn\ alpha]` for all `n in Ndot`

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
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