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Solve the following linear system. Consider using linear algebra soft- ware, for example https ://matrixcalc. org/en/vectors. html A. 1 1 0 dx = 0 4

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Solve the following linear system. Consider using linear algebra soft- ware, for example https ://matrixcalc. org/en/vectors. html A. 1 1 0 dx = 0 4 1 . X dt 0 3 2 B. and then using your answer from part A solve the following non- homogeneous linear system 1 1 0 dx = 0 4 dt 1 .X + 0 3 O Recall that the particular solution is as follows: Xp(t) = C. C-1 . Bat, where the columns of matrix Care the linearly independent solutions X1(t), X2(t), X3(t) of the homogeneous equation 4 = A . X

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