What does it mean for two vectors to be linearly independent? The resource presents the basics of basis vectors and linear combinations. The third video in the 15-part series provides a definition of linear independence in terms of the span of the linear combinations of vectors. The presentation provides both 2-D and 3-D examples of the definitions.
- Stop the video at 1:53 and have the class discuss possible answers to the question before moving on
- Before getting to the section on 3-D space at the 6:00 timestamp, ask class members what it would take to be able to span all of 3-D space
- Individuals should know how to represent a vector
- Makes it easier to envision the span of two and three vectors
- Includes a question at the end to ponder about two different definitions for linearly independent
- The video is closed captioned to help with note taking if needed