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The eigenvalues of M=[[9608,−1344],[−1344,5392],] are 5000 and 10000. Find all unit column vectors C with positive...

The eigenvalues of M=[[9608,−1344],[−1344,5392],] are 5000 and 10000. 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⋅50.

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