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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

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-2 Let A be a 2 x 2 matrix such that A = and A = 3 (a) (4 points) Is A invertible? Justify your answer. (b) (3 points) For any bЄ R², is the system A = consistent? Justify your answer. (c) (5 points) Find the general solution of the system A = -(²). (d) (6 points) Find the general solution of the system of differential equation, '=A. Note that this is still the same matrix A :) (e) (8 points) Find the equilibrium point(s) of the system = A that you handled in part (d). Determine the stability of the each equilibrium point and Draw some trajectory behavior. Justify your answer.

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