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4. (10 points) The matrix A below has complex eigenvector , = Gr.
3 —6 —1 A= 3 4 —3 —1 6 3
(a) What A the eigenvalue 4) for v)? (b) What A the other oomplex eigenvolue 42 of A? Give an eigenvector A. (c) What is the real eigenvalue As of A? Give an eigenvector vs for M. (d) The linear transformation an Rs given by xi—, Ax involves rotation around what line?