If F `(alpha)= [{:(cosalpha,0, sinalpha),(0,1,0),(-sinalpha,0,cosalpha):}]`
Show that = F `(alpha)^(-1)= F(-alpha)`

If F(theta) = [(cos theta, - sin theta, 0),(sintheta, costheta, 0),(0,0,1)] and G(alpha) = [(cos alpha, 0, sin alpha),(0,1,0),(-sinalpha, 0, cos alpha)] , show that [F(theta) G(alpha)]^-1 = G ( - alpha ) F ( - theta)

If A(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] then prove that A(alpha)A(-alpha)=I .

If A_(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] , then

If A_(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then prove that A_(alpha)A_(beta)=A_(alpha+beta) .

If A=[(cas alpha, sinalpha),(-sinalpha,cosalpha)], AA'=

If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],t h e n prove that [F(alpha)]^(-1)=F(-alpha)dot

If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],t h e n prove that [F(alpha)]^(-1)=F(-alpha)dot

Let A_(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] , then :

Let A_(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] , then :

If A_(alpha)=[(cosalpha,sinalpha),(-sinalpha,cosalpha)] then (A_(alpha))^2=?