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

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

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 prove that AA',=I Hence find A^(-1)

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

If A=[[cos alpha,sin alpha],[-sin alpha,cos alpha]] then show that A A^(T)=A^(T)A=I

If A,=[[cos alpha,sin alpha-sin alpha,cos alpha]] then show that ,A^(2)=[[cos2 alpha,sin2 alpha-sin2 alpha,cos2 alpha]]

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

If A=[[cos alpha,-sin alphasin alpha,cos alpha]] then AA'=I, if the value of alpha is