inner product
(50 minutes to learn)
Summary
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.
Context
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)
-Paid-
→ 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"
See also
-No Additional Notes-