Consider the homogeneous linear differential equation [5] dx dt = Ax, A = 2 1 0 1 2 0 0 0 3 Using the eigenvector method or otherwise, determine a fundamental set of solutions {x (1) , x (2) , x (3)} which satisfies the following initial conditions at t0 = 0 x (1) (0) = 1 0 0 , x (2) (0) = 0 1 0 , x (3) (0) = 0 0 1 . (b) Compute the Wronskian W(t) for the fundamental set of solutions found in (a). State [4] Abel's formula and check that it holds in this case. What is the geometrical interpretation of W(t) and of Abel's formula in this case