# Day04HWsoln - Exercise Set 3 Solutions In this homework...

• Homework Help
• 4

This preview shows page 1 - 2 out of 4 pages.

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.

Upload your study docs or become a

Course Hero member to access this document

Upload your study docs or become a

Course Hero member to access this document

End of preview. Want to read all 4 pages?

Upload your study docs or become a

Course Hero member to access this document

Term
Fall
Professor
Staff
Tags
Cos, Eigenvalue eigenvector and eigenspace, Det