Consider the initial value problem y' = 7(0) = a. Find the eigenvalue A, an eigenvector 1, and a generalized eigenvector 02 for the coefficient matrix of this linear system. 02 = Find the most general...

Please answer all parts correctly


Extracted text: Consider the initial value problem y' = 7(0) = a. Find the eigenvalue A, an eigenvector 1, and a generalized eigenvector 02 for the coefficient matrix of this linear system. 02 = Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. j(t) = c1 + C2 Solve the original initial value problem. Y1(t) = Y2(t) =