If `A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}]`, show that `A'A=I.`

IF A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then show that AA'=A'A

If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , show that A^(2)=[{:(cos2alpha,sin2alpha),(-sin2alpha,cos2alpha) :}].

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

If (i) A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] then verify that A'A=I. (ii) A=[{:(sinalpha,cosalpha),(-cosalpha,sinalpha):}] then verify that A'A=I.

If A=[(cos alpha,sinalpha),(-sinalpha,cosalpha)] , verify that A'A=I_2

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

If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then find the value of A'A

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