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Published in:
2015 | OriginalPaper | Chapter
8. The Characteristic Polynomial and Eigenvalues of Matrices
Authors : Jörg Liesen, Volker Mehrmann
Published in: Linear Algebra
Publisher: Springer International Publishing
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Abstract
In this chapter we use the determinant map in order to assign to every square matrix a unique polynomial that is called the characteristic polynomial of the matrix. This polynomial contains important information about the matrix. For example, one can read off the determinant and thus see whether the matrix is invertible. Even more important are the roots of the characteristic polynomial, which are called the eigenvalues of the matrix.