Answer the following questions.If `f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[0,0,1]] then f(-alpha)`

Answer the following questions. If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[0,0,1]] f(-alpha)+f(alpha)

Answer the following questions. If A_alpha=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] ,show that A_alpha.A_beta=A_(alpha+beta)

Select the correct option from the given alternatives. If F(alpha) = [[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[0,0,1]] where alpha in R then [F(alpha)]^-1 is

Answer the following questions.If A=[[cosalpha,-sinalpha],[sinalpha,cosalpha]] and A+A^T=I ,where I is unit matrix 2x2,then find the value of alpha

Select and write the correct answer from the given alternatives in each of the following:If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] ,then A A' =

Let F(alpha)=[(cosalpha, -sinalpha, 0), (sinalpha, cosalpha, 0), (0, 0, 1)] , where alpha in Rdot Then (F(alpha))^(-1) is equal to

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

Select the correct option from the given alternatives.If A = [[cosalpha,sinalpha],[-sinalpha,cosalpha]] then A^-1 = ? 1) [[frac{1}{cosalpha},-frac{1}{sinalpha],[frac{1}{sinalpha},frac{1}{cosalpha]] 2) [[cosalpha,-sinalpha],[sinalpha,cosalpha]] 3) [[-cosalpha,sinalpha],[-sinalpha,cosalpha]] 4) [[-cosalpha,sinalpha],[sinalpha,-cosalpha]]

If A=[(cos alpha,sin alpha),(-sin alpha,cos alpha)] and A. adj A=[(k,0),(0,k)] , then k is equal to