(a) Under the assumption that u 1 , . . . , u k form a Jordan...
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(a) Under the assumption that u1, . . . , uk 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.
Transcribed Image Text:
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
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