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If F(x) = [(cos x, - sin x, 0),(sin x, c...

If F(x) = `[(cos x, - sin x, 0),(sin x, cos x, 0),(0,0,1)] and G(y) = [(cos y, 0, sin y),(0,1,0),(-sin y, 0, cos y)]` then `[F(x) G(y)]^(-1)` is equal to a)`F (-x) G(-y)` b)`G(-y) F(-x)` c)`F(x^(-1))G(y^(-1))` d)`G(y^(-1))F(x^(-1))`

A

F (-x) G(-y)

B

G(-y) F(-x)

C

`F(x^(-1)G(y^(-1))`

D

`G(y^(-1)F(x^(-1))`

Text Solution

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The correct Answer is:
B
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