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Question 6 1 pts Let A be a constant entry 3 x 3 matrix and consider the system X' = AX. Suppose X1, X2, and

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Question 6 1 pts Let A be a constant entry 3 x 3 matrix and consider the system X' = AX. Suppose X1, X2, and X3 are solutions to 1 3 1 this system with X1(2.5) = 71 ,X2 (2.5) = 1 and X3 (2.5) = 73 .Are these solutions linearly 2 0 4 independent? Answer true if they are, false otherwise. 0 True 0 False Question 7 1 pts 3 6 What is the general solution to the system X' : ( ) X? 5 4 0 KM : (-56) +2th (1) 0 X0) : ((1)) +28% ((1)) 0 X6) =clet (56) +626; (1) O X(t):616' (3) met (2) Question 8 1 pts What is the general solution to the system X' = X ? x(t) = cient (1 )+ catext Ox(t ) = ce2t (?) O X (t ) = cie2t (1) + cze" (2) O No solutions Question 9 1 pts What is the (real) general solution to the system X' = 4 17 X O sin(4t) sin(4t) X(t) = cle3t - + cos( 4t) 17 sin(4t) + Cze 3t cos(4t) sin (4t) 4 Ox (t) = ciest ( 8 ) + cze3t ( " ) O X (t) = cle(3+4i)t + cze(3-4i)t No solutions

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