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1-sin alpha+i cos alpha...

1-sin alpha+i cos alpha

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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):}] , then

|(cos alpha, sin alpha, cos (alpha+beta)),(- sin alpha, cos alpha, -sin (alpha + beta)),(1,1,1)|=

If A=[cos alpha sin alpha-sin alpha cos alpha], then verify that A^(T)A=I_(2)

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then verify that A'A=I

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then verify that A'A=I

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then verify that A'A=I

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then verify that A'A=I