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categoryرياضيات schoolبكالوريوس event_available2026-07-13

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2. (15 pts) Consider the linear homogeneous system of 2 equations and 2 unknowns, x' = Ax. The matrix A, and one pair of it's eigenvalues and eigenvectors are given (you do NOT have to rederive the eigenvalues or eigenvectors). Sketch (by hand) the phase portraits. Be sure to label your axis. (a) (b) (c) A = A₁ =1+i v₁ = » = [}], 4-[13] \-----[}] = = ]; A = =[], λ₁ = i v₁ = =[}],

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