Question: Let A and B be n n matrices. (a) If A is real and nonsymmetric with Schur decomposition UTUH, then what types of matrices

Let A and B be n × n matrices.
(a) If A is real and nonsymmetric with Schur decomposition UTUH, then what types of matrices are U and T? How are the eigenvalues of A related to U and T? Explain your answers.
(b) If B is Hermitian with Schur decomposition WSWH, then what types of matrices are W and S? How are the eigenvalues and eigenvectors of B related to W and S? Explain your answers.

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