3 0 Given the first-order system x = 14 3 -14 x and that the 7 0 -4 independent variable is t: 1. Write the characteristic equation for the matrix. 2. Find the vector function solutions to this system. 3. Show that these solutions are linearly independent. 4. Write the general solution of the system. 5. Find the particular solution that satisfies the initial conditions x1(0) - 2, X2(0) - 2, and X3 (0) = 0