Apply the eigenvalue method to find a general solution of the given system. For the given initial conditions, find also the corresponding particular solution. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system. - x'₁ = 4x12x2, x 2 = 16x₁ - 4x2, x₁(0) = 5, x2(0)=4 What is the general solution in matrix form? x(t)=

Q: Show all the work

A: ∙  A=⎣⎢⎡​5−13​217​⎦⎥⎤​∙  T([−26​])=⎣⎢⎡​2836​⎦⎥⎤​Explanation:Given: ∙  T(e1​)=⎣⎢⎡​5−13​⎦⎥⎤​∙…

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