Question: Let X = AX be a linear system where (a) Determine conditions on a,b, c, and d that guarantee that this system is a

Let X′ = AX be a linear system where

a b A=

(a) Determine conditions on a,b, c, and d that guarantee that this system is a gradient system. Give a gradient function explicitly.

(b) Repeat the previous question for a Hamiltonian system.

a b A=

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