if `A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]]` be such that `A+A'=I` then `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=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , show that A'A=I.

If A=[[cosalpha, sinalpha], [-sinalpha, cosalpha]] , then A^(10)=

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] , then verify that A^T\ A=I_2 .

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

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

If A= [[cosalpha,sinalpha],[-sinalpha,cosalpha]] then show that A^2=[[cos2alpha,sin2alpha],[-sin2alpha,cos2alpha]]

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] ,show that A^2=[[cos2alpha,sin2alpha],[-sin2alpha,cos2alpha]]

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] ,show that A^TA=I ,where I is the unit matrix of order 2.