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F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,...

`F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]]` and `G(x)=[[cosx,0,sinx],[0,1,0],[-sinx,0,cosx]]`, then `[F(x)G(y)]^(-1)` is equal to (A) `F(-x)G(-y)` (B) `F(x-1)G(y-1)` (C) `G(-y)F(-x)` (D) `G(y^(-1))F(x^(-1))`

A

`f(-x)*g(-y)`

B

`f(x^(-1))*g(y^(-1))`

C

`g(-y)*g(-x)`

D

`g(y^(-1))*f(x^(-1))`

Text Solution

Verified by Experts

The correct Answer is:
C
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MARVEL PUBLICATION-MATRICES-TEST YOUR GRASP
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