(50 minutes to learn)
An inner product is a kind of mathematical operator defined on a vector space which generalizes the dot product. It can be used to generalize notions like length, orthogonality, and angles to vector spaces other than the Euclidean one.
This concept has the prerequisites:
- vector spaces (An inner product is an operation defined on a vector space.)
- dot product (The Euclidean dot product is the canonical example of an inner product.)
Core resources (read/watch one of the following)
→ Linear Algebra Done Right
A textbook for a second course in linear algebra, with mathematical generalizations of the basic concepts.
Location: Chapter 6, "Inner product spaces," subsections "Inner products" and "Norms"
-No Additional Notes-
- create concept: shift + click on graph
- change concept title: shift + click on existing concept
- link together concepts: shift + click drag from one concept to another
- remove concept from graph: click on concept then press delete/backspace
- add associated content to concept: click the small circle that appears on the node when hovering over it
- other actions: use the icons in the upper right corner to optimize the graph placement, preview the graph, or download a json representation