Eigenvalues and eigenvectors for order 3 symmetric matrices: An analytic approach

EasyChair Preprint 1078

Abstract

It is always important to find the eigenvalues and eigenvectors accurately since they provide vital information to many engineering problems. Analytic solutions are advantageous over numerical solutions because numerical solutions are accurate up to some order while analytic solutions are exact. Again, the analytic solution of a polynomial of order greater than 3 is too complicated. In this article, we show simple, optimized, fast and robust analytic ways to find the eigenvalues and eigenvectors of symmetric matrices of order 3.

Keyphrases: Eigenspace, Eigenvectors, eigenvalues, linear algebra

@booklet{EasyChair:1078,
  author    = {Abu Bakar Siddique and Tariq Khraishi},
  title     = {Eigenvalues and eigenvectors for order 3 symmetric matrices: An analytic approach},
  howpublished = {EasyChair Preprint 1078},
  year      = {EasyChair, 2019}}