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Mathematics, 21.04.2020 19:10 elie84

1. Let či(t), 72(t),...,n(t) be n-vector functions defined on the interval (0,2). If the Wronskian W 51, 72,...,n(t) + 0 at t = 1 € (0,2), then Ei(t), 72(t),..., in(t) are linearly independent on the interval [0,2]. A. True B. False 2. Any n x n matrix A is similar to a Jordan normal form which has m Jordan block J, with size kj, corresponding to eigenvalue ; for j = 1,2m, in which _ k; = n. That is, there exists an invertible matrix P such that P-'AP is the Jordan normal form. (Hint: Check your linear algebra notes) A. True B. False

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