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Two Eigenvector Theorems

DOI: 10.4236/alamt.2016.61002, PP. 11-16

Keywords: Characteristic Equation, Minimal Polynomial, Eigenvalues, Eigenvectors, Vander Monde Matrix, Jacobi Block Matrix

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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.

References

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http://dx.doi.org/10.4236/alamt.2015.52005
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