Catalog : MATH.2210 Introduction to Linear Algebra (Formerly 92.221) MATH.2210 — Undergraduate Id: 008281 Offering: 1 Credits: 3-3 Description Elementary set theory and solution sets of systems of ...

Brief Description of Course Content Introduces the fundamentals of linear algebra in the context of computer science applications. Includes vector spaces, matrices, linear systems, and eigenvalues.

In the second part we define a "polar decomposition" for some bounded linear maps and show that polar decomposition is possible if and only if the map satisfies a certain "norm condition".

Ulam posed the problem: "Give conditions in order for a linear mapping near an approximately linear mapping to exist". The purpose of this paper is to give an answer to Ulam's problem.