Question: Problem 1 Show that a (a) skew symmetric matrix does not have real eigenvalues, e.g., A E Rnxn and A = -AT then all eigenvalues

Problem 1 Show that a (a) skew symmetric matrix does not have real eigenvalues, e.g., A E Rnxn and A = -AT then all eigenvalues of A, 1, 12, . . . , satisfies Re(li) = 0. (b) Find the eigenvalues and eigenvectors of

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