(a) Under the assumption that u 1 , . . . , u k form a Jordan...

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(a) Under the assumption that u₁, . . . , u_k form a Jordan chain for the coefficient matrix A, prove that the functions (10.17) are solutions to the system u̇ = Au.

(b) Prove that they are linearly independent.

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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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(a) Under the assumption that u 1 , . . . , u k form a Jordan...

Question:

u1(t)=e^w1, u₂ (t) = e(t w₁ + W₂), u; (t) = ext and, in general, u₂(t) = e(t²w₁ +tW2 + W3), ti-i 1≤j≤k. (j-i)! W 23 (10.17)

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a To show that the functions 1017 are solutions to the system u Au we need to verify that they satis...View the full answer

Applied Linear Algebra

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