(1 point) Consider the linear system a. Find the eigenvalues and eigenvectors for the coefficient matrix. 2 2 A1 = , and 12 = -i 12 = -3+i (-3-i) b. Find the real-valued solution to the initial value problem Syl = 3y1 + 292, y1 (0) = 7, y2 = -5y1 - 3y2, y2 (0) = -15. Use t as the independent variable in your answers. y1(t) = 2cos(t)-4sin(t) yz(t) = (10/sqrt15)e^(-0.5t)sin(sqrt15t/2) - 5e^(-0.5t)cos(sqrt15t/2)