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Question

If A=[cosαsinαsinαcosα], then A2=



A

[cos2αsin2αsin2αcos2α]

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B

[cos2αsin2αsin2αcos2α]

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C

[cos2αsin2αsin2αcos2α]

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D

[cos2αsin2αsin2αcos2α]

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Solution

The correct option is D

[cos2αsin2αsin2αcos2α]


Since A2=A.A=[cosαsinαsinαcosα][cosαsinαsinαcosα]=[cos2αsin2αsin2αcos2α].


Mathematics

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