Find a fundemental set of solution vectors of the system x' = Ax where A is the given matrix: 2 -1 -2 -2 1-4 2-4 4 and find the solution that satisfies the initial condition: Hint: 6 is an eigenvalue. a) Ox(t)= b) Ox(t)= c) Ox(t)= d) Ox(t)= 27 20 2 -2t -2 -2 27 -2t 10 20 27 -2: 3 1 -2 3 -2 -4t 1 8 42 2 -2 2 2 2 -1 1 2 1 + 27 20 3 6t 10 2 67 2 1 1 2 -3 +-H÷-344 -2 -~~ 1 2 2 A = 2 -3 HE x(0) = -2 نه به -2

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