afc A_(phi)=[[cos alpha,sin alpha],[-sin alpha,cos alpha]]," at "f+Delta

A=[[cos alpha,sin alpha],[-sin alpha,cos alpha]] , then find | A |

If A_(alpha)=[[cos alpha, sin alpha],[ -sin alpha , cos alpha]] , then prove that i) A_(alpha ). A_(beta)=A_(alpha + beta) ii) (A_alpha)^n=[[cos n alpha, sin n alpha],[ -sin n alpha, cos n alpha]] for every positive integer n .

If A_(alpha)=[[cos alpha,sin alpha-sin alpha,cos alpha]]. Prove that

A=[[Cos alpha,sin alpha],[-Sin alpha,cos alpha]] then A^(2)

Let A_(alpha)=[[cos alpha,-sin alpha,osin alpha,cos alpha,00,0,1]]

If A_(alpha)=[cos alpha sin alpha-sin alpha cos alpha], then prove that (A_(alpha))^(n)=[cositive in n alpha-s in n alpha cos n alpha] for every positive integer n.

If A_(alpha)=[cos alpha sin alpha-sin alpha cos alpha], then prove that A_(alpha)A_(beta)=A_(alpha+beta) for every positive integer n.

If A= [[cos alpha, -sin alpha],[sin alpha, cos alpha]] , then A + A'= I, the value of a is :

If A_(alpha), = [{:(cos alpha , sin alpha),(-sin alpha , cos alpha):}] , then