TITLE:
Two Eigenvector Theorems
AUTHORS:
Raghuram Prasad Dasaradhi, V. V. Haragopal
KEYWORDS:
Characteristic Equation, Minimal Polynomial, Eigenvalues, Eigenvectors, Vander Monde Matrix, Jacobi Block Matrix
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.6 No.1,
March
8,
2016
ABSTRACT: In this
paper, we established a connection between a square matrix “A” of order “n” and a matrix defined through a new approach of the
recursion relation. (where is any column matrix with n real elements).
Now the new matrix gives us a characteristic equation of matrix A
and we can find the exact determination of Eigenvalues and its Eigenvectors of
the matrix A. This new approach was invented by using Two eigenvector theorems
along with some examples. In the subsequent paper we apply this approach by
considering some examples on this invention.