(Linear systems in higher dimensions.) We have discussed second order linear ODEs at great length. The theory extends to higher order linear systems. Learn the material in sections 4.1 and 4.2 of the text, and develop a teaching lesson that explains and illustrates the concepts.
Your analysis should based on: Thm4.1.1 and proof, Thm4.1.2 and proof, Thm4.1.3 and proof, Section 4.2, Examples of both 4.1&4.2 and Summary. BUT the whole analysis should follow the proportion at the beginning. 5-8 pages in length is needed.
Sample Solution