Consider the linear system ' = Ax, where A is a real 2 × 2 constant matrix with repeated eigenvalues. Use the given information to determine the matrix A. Phase plane solution trajectories have horizontal tangents on the line x2 = 2x1 and vertical tangents on the line x1 0. The matrix A has a nonzero repeated eigenvalue and a21 −4. = A = help (matrices) Book: Section 3.7 of Notes on Diffy Qs

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