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Cooper (p. 23-32)

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Coulmas-Law (p.42-46)

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JOURNAL OF APPLIED BUSINESS AND ECONOMICS

Identical Sets of Eigenvalues

Author(s): Tam Bang Vu, Eric Iksoon Im

Citation: Tam Bang Vu, Eric Iksoon Im, (2011) "Identical Sets of Eigenvalues," Journal of Applied Business and Economics, Vol. 12, Iss. 1, pp. 30 - 33

Article Type: Research paper

Publisher: North American Business Press

Abstract:

Eigenvalues and the characteristic equations are important concepts and have many useful

applications in econometrics. Hence, knowing that two matrix have identical sets of eigenvalues

saves a great deal of time in finding one when the other is known. In this paper, we develop a

three-part problem concerning this aspect. The first part shows that, under certain condition,

matrices A and E = - A have identical sets of eigenvalues. The second part works out the

solutions for nonzero characteristic roots of A . The third part discusses determinant of A. The

last part discusses the application and conclusion.