Question: please prove #11 11. Let A be an n x n matrix that is similar to an upper triangular ma- trix and has the distinct

please prove #11

11. Let A be an n x n matrix that is similar to an upper triangular ma- trix and has the distinct eigenvalues 1, 12, ..., Ax with corresponding multiplicities m1, m2, ..., mk. Prove the following statements. k (a) tr(A) = > midi i=1 280 Chap. 5 Diagonalization (b) det(A) = (1)mi(2)mz ... (Xx)mk

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