Question: Let A be a constant n x n matrix, and suppose u(t) is a solution to the system (a) Show that all derivatives dku/dtk k

Let A be a constant n x n matrix, and suppose u(t) is a solution to the system
Let A be a constant n x n matrix, and

(a) Show that all derivatives
dku/dtk k = 1, 2.......
are also solutions.
(b) Show that

Let A be a constant n x n matrix, and

4-A dt d'u LI =Atu. dtk

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