If `A=[cosalphasinalpha-sinalphacosalpha]` is such that `A^T=A^(-1)` , find `alpha` .

If A=[cos alpha sin alpha-sin alpha cos alpha] is such that A^(T)=A^(-1), find alpha.

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1) , find alpha

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1) , find alpha .

If A,=[[cos alpha,sin alpha-sin alpha,cos alpha]] is such that A^(T),=A^(-1), find alpha

If A =[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then find A^(T) A.

If A_alpha=[cosalphasinalpha-sinalphacosalpha] , then prove that (A_alpha)^n=[cos n\ alphasinn\ alpha-sinn\ alpha cos n\ alpha] for every positive integer n .

If A_alpha=[cosalphasinalpha-sinalphacosalpha],t h e nA_alphaA_beta= (a)A_(alpha+beta) (b) A_(alphabeta) (c) A_(alpha-beta) (D) None of these

A=[(cos alpha,-sin alpha),(sin alpha,cos alpha)] and A+A^(T)=I , find the value of alpha .

A=[(cos alpha,-sin alpha),(sin alpha,cos alpha)] and A+A^(T)=I , find the value of alpha .

A=[(cos alpha,-sin alpha),(sin alpha,cos alpha)] and A+A^(T)=I , find the value of alpha .