Let F(alpha)=[cosalpha-s inalpha0s inalp...

Let `F(alpha)=[cosalpha-s inalpha0s inalphacosalpha0 0 0 1],w h e r ealpha in Rdot` Then `(F(alpha))^(-1)` is equal to `F(alpha^(-1))` b. `F(-alpha^)` c. `F(2alpha)` d. `-[1 1 1 0]`

`F(-alpha)`

`f(alpha^(-1))`

`F(2alpha)`

None of these

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Let A(alpha)=[cosalpha0sinalpha0 1 0sinalpha0cosalpha] and X is a set of all matrices A(alpha) for different values of alpha . Which of the following is true (a)A^(-1)(alpha)=A(-alpha) (b) A^(-1)(alpha)=A(alpha) (c)det(a d j(A^(-1)(alpha)))=sec^2 2alpha (d)det(A^(-1)(alpha))=1/(cos2alpha)

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