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Two Eigenvector Theorems

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DOI: 10.4236/alamt.2016.61002    2,679 Downloads   3,466 Views


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.

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Dasaradhi, R. and Haragopal, V. (2016) Two Eigenvector Theorems. Advances in Linear Algebra & Matrix Theory, 6, 11-16. doi: 10.4236/alamt.2016.61002.

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