Linear Algebra: Communications Intensive
This MIT OpenCourseWare supplement to 18.06 Linear Algebra focuses on writing rigorous mathematical proofs rather than computation alone. Students work through the standard linear algebra syllabus, covering vector spaces, eigenvalues, and orthogonality, while learning how to structure and present proofs clearly in writing. The course builds toward an advanced topic, abstract root systems in Euclidean space, using it as a vehicle for practicing formal mathematical communication. Materials include problem sets, writing assignments, and instructor feedback on proof style and clarity, reflecting MIT's communication-intensive requirement for course credit. There are no video lectures; the course is delivered through written materials and assignments meant to be worked through independently or alongside 18.06 itself. It suits students who already know the computational side of linear algebra and want to strengthen how they argue and write about it.