Vector Spaces and Linear TransFormations
| Url | http://www.capital.edu/uploadedFiles/Capital/Academics/Schools_and_Departments/Natural_Sciences,_Nursing_and_Health/Computational_Studies/Educational_Materials/Mathematics/Vector%20Spaces%20and%20Linear%20Transformations.pdf |
| Creator | Greg Baker |
| Contributor | None listed |
| Publisher | Keck Undergraduate Computational Science Educational Consortium. |
| Description | What is a vector? The answer may surprize you. But let's start with the simplest view of a vector. It is an arrow that records distance and direction. By stringing together a sequence of arrows we can provide detailed directions for a journey, or outline an object. It is the way we add arrows to produce a new arrow that really identifies what a vector is. We can incorporate this addition property to other quantities such as velocities, forces, and even functions. What quickly emerges is that it is the linear combination of vectors that allows great diversity in applications and provides deep understanding to the nature of solutions to linear problems. This module starts with the basic Description of vectors and then proceeds to elucidate their role in the Formation of systems of linear equations. |
| Format | |
| Subject | Computational Science, Mathematics, Engineering |
| Keyword | vector |
| Audience | Educator, Learner/Student |