Discussion Question: After seeing applications of orthogonality, make and discuss a simple application of orthogonality related to areal world event. Be sure to explain process used in order to figure out what you were looking for.

Thank you!

Background:

Textbook: Chapter 5 in Elementary Linear Algebra by Larson 8e.

Overview of Chapter:

Inner product spaces, or orthogonality, is when you have two vectors in a vector space (with a scalar product) if their scalar product is equal to zero. In this module, you will be working with scalar products and some applications that utilize them, orthogonal subspaces and polynomials, orthonormal sets, inner product spaces, and solving questions using least squares and the Gram-Schmidt orthogonalization processes.

Topics:

• Scalar product in matrices
• Orthogonal subspaces
• Least squares problems
• Inner product spaces
• Orthonormal sets
• Gram-Schmidt orthogonalization process
• Orthogonal polynomials