Eigenvalues and Eigenvectors

Arindama Singh ()
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Arindama Singh: Indian Institute of Technology Madras, Department of Mathematics

Chapter Chapter 5 in Introduction to Matrix Theory, 2021, pp 101-113 from Springer

Abstract: Abstract Eigenvalues and eigenvectors are introduced by looking for a straight line through the origin which does not move under a linear transformation. It then leads to the characteristic polynomial and the spectrum of a matrix. Linear independence of eigenvectors associated with distinct eigenvalues is shown. Then, special properties of eigenvalues of real symmetric, hermitian, and orthogonal matrices are discussed.

Date: 2021
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DOI: 10.1007/978-3-030-80481-7_5

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