Lecture
This lecture starts with a feedback session on a recent exam, followed by a review of finding the matrix associated with a linear transformation between vector spaces. The instructor explains the concept of change of basis matrix, its properties, and how to find it. Through examples, the lecture demonstrates how to calculate the change of basis matrix between different bases. The lecture concludes with a detailed proof showing the invertibility of the change of basis matrix and its relationship with the identity matrix. Students are encouraged to practice finding change of basis matrices in various scenarios.