Consider the system T = Ar where A = -1 2 -3 (a) Compute the general solution to the system. (b) Compute the matrix exponential eªt. (c) Draw the phase plane of the system = A x and say what type of phase plane it is.

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Given: The given second order differential equation is y'' + 5 y' - 6 y = 0

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A: The objective is to prove that

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A: the matrix form of the given system of equation is ...

Q: (4) Given matrix A = ( ), and that h(T) = T² – 2T – 7, find h(T).

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A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…