Begin a series of lectures on linear systems of differential equations by delving into linear algebra, which provides tools for solving these problems. Review vector notation, matrix arithmetic, the concept of the determinant, and the conditions under which equilibrium solutions arise. This Free, Full-Length Lecture is #11 in the 24-lecture course "Mastering Differential Equations: The Visual Method" by Robert L. Devaney, Ph.D. Watch the rest of this course when you sign up for a FREE Trial of The Great Courses Plus here: www.thegreatcoursesplus.com/show/mastering_differential_equations_the_visual_method?utm_source=US_OnlineVideo&utm_medium=SocialMediaEditorialYouTube&utm_campaign=160829 Please like/comment/share! And don't forget to subscribe to our channel - new videos are being added all the time! www.youtube.com/subscription_center?add_user=TheGreatCourses Follow us! Twitter: twitter.com/thegreatcourses Facebook: www.facebook.com/TheGreatCourses Instagram: www.instagram.com/thegreatcourses/ Blog: www.thegreatcoursesdaily.com/ LinkedIn: www.linkedin.com/company/the-great-courses-by-the-teaching-company