Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 3 -9 3 8 - 3 A- -4 18 4 4 4
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Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 3 -9 3 8 - 3 A- -4 18 4 4 4
Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 3 -9 3 8 - 3 A- -4 18 4 4 4 d and find the solution that satisfies the initial condition: -3 x(0) - نہ 2 2 2 Hint: 12 is an eigenvalue. -3 - 1 4 a) Ox()- 2003 t= 105 57 87 8+ -2121 52 -52 8 0 57 b) O x(t)= to To 8 + 1 - -52 57 c) O x(t)- 8 2 65 121 10 -52 8 གང་ལ -- - 57 3 3 d) Ox(t)- ) 3 41 20 8 1 65 20 -52 -9 w 3 3 e) Ox(1) ()= 650* - ose -4 + 12:
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