Suppose that u(t) R n is a polynomial solution to the constant coefficient linear system u

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Suppose that u(t) ∈ Rⁿ is a polynomial solution to the constant coefficient linear system u̇ = Au. What is the maximal possible degree of u(t)? What can you say about A when u(t) has maximal degree?

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Question Posted: Apr 30, 2023 01:49 AM

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Suppose that u(t) R n is a polynomial solution to the constant coefficient linear system u

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If ut is a polynomial solution to the constant coefficient linear system u Au then we can write ut a...View the full answer

Applied Linear Algebra

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