Lecture
This lecture covers the concept of vector subspaces in R4, focusing on finding the dimension of subspaces and writing vectors in matrix form. It also discusses symmetric matrices, basis vectors, and coordinates with respect to a base. The instructor demonstrates how to determine bases for vector spaces and extract polynomials to form bases. Additionally, the lecture explores canonical forms, matrix operations, and linear independence. Practical exercises and homework assignments are provided to reinforce the theoretical concepts.