Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 2 6 3 A= 2 -1 -2 -2 -2 -1 a

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Find A Fundemental Set Of Solution Vectors Of The System X Ax Where A Is The Given Matrix 2 6 3 A 2 1 2 2 2 1 A 1 (117.76 KiB) Viewed 22 times

Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 2 6 3 A= 2 -1 -2 -2 -2 -1 and find the solution that satisfies the initial condition: - 1 x(0) = 1 -1 Hint: -1 is an eigenvalue. 1 -1 2 3 16 -51 a) X(t)= 1 18 4: e -4 + 0 + 1 5 1 1 -1 1 -57 b) 1 41 e X(t)= -5 0 +3e -4 16 9 1 - 2 - 2 - 2 16 c) -47 e X(t)= } 4 3 + 2 - 2 + -51 e 2 - 2 0 -4 -1 - 2 -2 3 200= TEM d) 41 e -51 x(t)= 0 + e 2 1 18 2 18 1 -4 -4 - 2 -1 1 1-41 -57 e) X(t)= -1 e 4 1 9 0 + 16 9 e 9 1 1 f) None of the above.