8. Help me with this * 1 For the linear system Find the eigenvalues and eigenvectors for the coefficient matrix. A1 = , 1 = and 12 = , U2 =5. Help me with this *1 Find the solution to the linear system of diEerential equations { I! J' '9' z3y 221443; satisfying the initial conditions 3(0) : 3 and 3(0) : 1_ 4. Help me with this * 1 a. Given that v1 = and v2 = 3 are eigenvectors of the matrix 3 determine the corresponding eigenvalues. X1 = 2 = = b. Find the solution to the linear system of differential equations -7x - 4y satisfying the initial conditions x(0) = 1 and y(0) = 0. = 3x (t) = y( t) =9 . Help me with this * 1