(2 pts) Suppose A is a 2 × 2 real matrix with an eigenvalue = 1 + 4i and corresponding eigenvector i Determine a fundamental set (i.e., linearly independent set) of solutions for y' = Ay, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. บี1 (t) = 32(t) = (3 pts) Consider the linear system J' = [ -3-2 J. 5 3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. λι = 1 √1 and №2 = √2 = b. Find the real-valued solution to the initial value problem = -3y1-2y2, Y 5y1 + 3y2, Y₁(0) = 4, Y2(0) = -10. Use t as the independent variable in your answers. Y1(t) = Y2(t) = =