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- Title
Identical Sets of Eigenvalues.
- Authors
Vu, Tam Bang; Im, Eric Iksoon
- 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.
- Subjects
EIGENVALUES; ECONOMETRICS; MATRICES (Mathematics); ROOTS of equations; DETERMINANTS (Mathematics); MATHEMATICAL models
- Publication
Journal of Applied Business & Economics, 2011, Vol 12, Issue 1, p30
- ISSN
1499-691X
- Publication type
Article