In the problems 2 through 4 we will be solving the system of linear equations are = ['12 3'4] at) + [$23] . Find the eigenvalues and eigenvectors of the matrix A = [12 :34]. . Give a basis {f1[t), :32 (t)} for the space of solutions for the homogeneous system :E"(t) = ['12 :34] 55(t). Find the fundamental matrix X05) and its inverse X405). . Find a general solution to the system (1)