Consider the initial value problem -6 1 ý, j(0) = a. Find the eigenvalue A, an eigenvector v1, and a generalized eigenvector v, for the coefficient matrix of this linear system. b. Find the most...

Extracted text: Consider the initial value problem -6 1 ý, j(0) = a. Find the eigenvalue A, an eigenvector v1, and a generalized eigenvector v, for the coefficient matrix of this linear system. b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. y(t) = C1 + c2 c. Solve the original initial value problem. Y1 (t) = Y2(t) = || 15