True or false, with reason if true and counterexample if false: (a) For every matrix A
Chapter 5, Problem 5.18(choose chapter or problem)
True or false, with reason if true and counterexample if false: (a) For every matrix A, there is a solution to du/dt = Au starting from u(0) = (1,...,1). (b) Every invertible matrix can be diagonalized. (c) Every diagonalizable matrix can be inverted. (d) Exchanging the rows of a 2 by 2 matrix reverses the signs of its eigenvalues. (e) If eigenvectors x and y correspond to distinct eigenvalues, then x Hy = 0.
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