Math 210-01: Linear Algebra: Reading Homework 5.2
- Inner Product Spaces : what extension does this section make?
- Inner Products : how do we denote an inner product? how is it related to a dot product?
- properties : when is a function an inner product?
- inner product spaces : what is an inner product space?
- Definitions : in an inner product space, what are the norm of a vector, the distance between two vectors, and the angle between two vectors? when are two vectors orthogonal?
- Inequalities and Theorems :
- Cauchy-Schwartz : what is the Cauchy-Schwartz inequality for an inner product space?
- Triangle : what is the triangle inequality for an inner product space?
- Pythagorean : what is the Pythagorean theorem for an inner product space?
- Orthogonal Projections : what is the orthogonal projection of a vector in an inner product space onto another vector v?
Math 210-01: Linear Algebra: Reading Homework 5.2
Last Modified: Tue Mar 9 22:17:20 1999
Comments to: glarose@umich.edu