10. (3 points) Consider the matrix A = |3 -4 - 2 3 1 1 3...

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10. (3 points) Consider the matrix A = |3 -4 - 2 3 1 1 3 -5+3i (a) (2 points) Show that x = 3+3i is an eigenvector of A with eigenvalue = 2+3i. 2 Hint: Show that Ax = xx. (b) (1 point) Find a different eigenvalue and eigenvector of A. 10. (3 points) Consider the matrix A = |3 -4 - 2 3 1 1 3 -5+3i (a) (2 points) Show that x = 3+3i is an eigenvector of A with eigenvalue = 2+3i. 2 Hint: Show that Ax = xx. (b) (1 point) Find a different eigenvalue and eigenvector of A.