Consider the linear system -6 - y. 12 8 a. Find the eigenvalues and eigenvectors for the coefficient matrix. 2 di 0 , Vi 1 and 12 2 V 2 = 1 b. For each eigenpair in the previous part, form a solution of ý' = AT. Use t as the independent variable in your answers. 2 -3 gi (t) = and 72(t) = e^(2t) -2e^(2t) c. Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions? Yes, it is a fundamental set
