Exercise Set 3 SolutionsIn this homework set, we will practice finding eigenvalues and eigenvectorswhen the eigenvalues are either complex or the matrix is defective.1. Given a 2×2 defective matrixAwith double eigenvalueλ, eigenvectorvand generalized eigenvectorw, show that the function:eλt(tv+w)solves the differential equationx0=Ax.2. Exercises 1, 3, pg. 409 (Section 7.6, solve with complex evals/evecs)Solutions in the text.3. Exercises 1, 3, 7, pg. 429 (Section 7.8, solve with degenerate matrix)Solutions in the text.