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2. The eigenvalues of M=[[392,−144],[−144,308],] are 200 and 500. Find all unit column vectors C with...

2. The eigenvalues of M=[[392,−144],[−144,308],] are 200 and 500. Find all unit column vectors C with positive entries so that there is a solution of dX/dt=M⋅X in the form X=C⋅exp(λ⋅t) where λ is a number. Report C⋅10.

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