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Question

Let F(α)=cosαsinα0sinαcosα0001, where αϵR.
Then [F(α)]1 is equal to

A
F(α)
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B
F(α1)
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C
F(2α)
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D
None of these
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Solution

The correct option is A F(α)
We have
F(α)F(α)=cosαsinα0sinαcosα0001cosαsinα0sinαcosα0001=100010001=IF(α)=[F(α)]1

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