Question: Let A be the matrix . It is the standard matrix of the counterclockwise rotation of l 2 2 11%? around (0, D} by an

Let A be the matrix . It is the standard matrix of the counterclockwise rotation of l 2 2 11%? around (0, D} by an angle of at. l 2 1 An eigenvector otA is [ ]. 1 {a} Find the eigenvalue of [1]. 1 {Write sqrt{a} for } % -? 1 "Cl 1 _3 t i_ i 2 {b} What is the other eigenvalue of A? :l {c} lGive an eigenvector of A for this second eigenvalue. E E Check

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