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Question

If A=[cosαsinαsinαcosα], then find A2.

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Solution

Given A=[cosαsinαsinαcosα]

A2=AA=[cosαsinαsinαcosα][cosαsinαsinαcosα]

=[cos2αsin2α2sinαcosα2sinαcosαcos2αsin2α]=[cos2αsin2αsin2αcos2α]

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