M   ASSIGNMENT1b-EIGENVALUES ANDEIGENVECTORS Conduct in-depth research on Eigenvalues and Eigenvectors, explain how they are related, and then identify five applications in real-world settings. Explain in detail why do we use eigenvalues and eigenvectors? Who invented eigenvalues? What branch of mathematics does this invention form the foundation for? Design an activity to introduce Eigenvalues and Eigenvectors to your students. Create at least five scenarios that need to use eigenvalues and eigenvectors for your students. Some examples are: 1. Communication systems. 2. Designing bridges [ Watch the video on the collapse of the Tacoma Narrow Bridge, built in 1940] Read:ARS News November, This Month in Physics History, November 7, 1940: Collapse of the Tacoma Narrows Bridge. 3. Designing car stereo system. 4. Electrical Engineering. 5. Mechanical Engineering. Conduct in-depth research using citations and references on eigenvectors and Eigenvalues 2 points Collect at least 5 applications of Eigenvalues and Eigenvectors 2 points Explain in detail why do we use eigenvalues and eigenvectors? 1 point Detail description of each application and how Eigenvalues and Eigenvectors were used. 2 points Design an activity to introduce Eigenvalues and Eigenvectors to your students. 2 Points PowerPoint Presentation