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1. Let M=[[58,−8],[364,−50],]M=[[58,−8],[364,−50],]. Find all numbers λλ so that there is a solution of dX/dt=M⋅XdX/dt=M⋅X in...

1. Let M=[[58,−8],[364,−50],]M=[[58,−8],[364,−50],]. Find all numbers λλ so that there is a solution of dX/dt=M⋅XdX/dt=M⋅X in the form X=C⋅exp(λ⋅t)X=C⋅exp⁡(λ⋅t), where CC is a non-trivial column vector. Report the answer as a pair λ1,λ2λ1,λ2, where λ1<λ2λ1<λ2 with no spaces.

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