If `F(x)= [[cosx, -sinx,0],[sinx, cosx, 0],[0,0,1]]`,then which of the following are correct?

If f(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] Find f(-x)

If F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] Show that F(x)F(y)=F(x+y)

Select and write the correct answer from the given alternatives in each of the following:If f(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] then f(x+y) is equal to

If F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[ 0, 0, 1]] , show that F(x) F(y) = F(x + y) .

If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] , show that F(x)*F(y)=F(x+y)

If f(x) = [(cos x , - sinx,0),(sinx,cosx,0),(0,0,1)] then show f(x) . f(y) = f(x+y)

If f(x) = [(cos x , - sinx,0),(sinx,cosx,0),(0,0,1)] then show f(x) . f(y) = f(x+y)

If f(x)=[{:(cosx,-sinx,0),(sinx,cosx,0),(0,0,1):}] , then show that f(x)*f(y)=f(x+y) .

If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] , show that F(x) F(y)=F(x+y) .