Consider the matrix f x left begin array ccc cos x sin x 0 sin x cos x 0 ....

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Consider the matrix f(x)= [cosx -sinx 0; sinx cosx 0 ; 0 0 1]. Given below are two statements: Consider the matrix f(x)= [cosx -sinx 0; sinx cosx 0 ; 0 0 1]. Given below are two statements:
If F(x)=[[cos x, -sin x , 0], [sin x, cos x, 0], [ 0, 0 , 1]] show that F(x). F(y)=F(x+y) If F(x)=[[cos x, -sin x , 0], [sin x, cos x, 0], [ 0, 0 , 1]] show that F(x). F(y)=F(x+y)
If `F(x)=[{:(cosx,-sinx,0),(six,cosx,0),(0,0,1):}]`, show that `F(x).F(y)=F(x+y).` If `F(x)=[{:(cosx,-sinx,0),(six,cosx,0),(0,0,1):}]`, show that `F(x).F(y)=F(x+y).`
If f(x)=[ cos x - sin x 0 sin x cos x 0 0 0 1] show that f(x).f(y)=f(x+y)|CBSE|NCERT|12|Matrices If f(x)=[ cos x - sin x 0 sin x cos x 0 0 0 1] show that f(x).f(y)=f(x+y)|CBSE|NCERT|12|Matrices
If A = [[cos x, -sin x], [sin x, cos x]], find AA^T If A = [[cos x, -sin x], [sin x, cos x]], find AA^T
If `f{x}=[{:(cos x,-sinx,0),(sin x,cos x,0),(\" \"0,\" \"0,1):}]`, then which of the following If `f{x}=[{:(cos x,-sinx,0),(sin x,cos x,0),(\" \"0,\" \"0,1):}]`, then which of the following
`F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]]` and `G(x)=[[cosx,0,sinx],[0,1,0],[-sinx,0,cosx]]`... `F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]]` and `G(x)=[[cosx,0,sinx],[0,1,0],[-sinx,0,cosx]]`...
If Matrix F(x)=cosx -sinx 0, sinx cosx 0, 0 0 1 then show that F(x)+F(y)=F(x+y) | NCERT Ex 3.2 Q 13 If Matrix F(x)=cosx -sinx 0, sinx cosx 0, 0 0 1 then show that F(x)+F(y)=F(x+y) | NCERT Ex 3.2 Q 13