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Published in:
2018 | OriginalPaper | Chapter
5. THE EIGENVALUE PROBLEM
Author : Thomas S. Shores
Published in: Applied Linear Algebra and Matrix Analysis
Publisher: Springer International Publishing
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Abstract
The first major problem of linear algebra is to understand how to solve the basis linear system \(A\mathbf {x}=\mathbf {b}\) and what the solution means. We have explored this system from three points of view: In Chapter 1 we approached the problem from an operational point of view and learned the mechanics of computing solutions. In Chapter 2, we took a more sophisticated look at the system from the perspective of matrix theory. Finally, in Chapter 3, we viewed the problem from the vantage of vector space theory.