12. The real case
Examination of the place occupied by real matrices in the partition of
into cabinets proves that only cabinets associated with real characteristic polynomials contain real matrices. The eigenvalues of such matrices are real or complex conjugates and for λ, a non-real eigenvalue, the algebraic multiplicities of λ and
are equal. Furthermore, for complex...
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The real case
References
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(1) - ADKINS (A.), WEINTRAUB (S.) -
Algebra. An Introduction via module Theory,
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Springer 1992. ISBN 0-387-97839-9.
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(2) - CHAMBADAL (L.), OVAERT (J.-L.) -
Algèbre linéaire et algèbre tensorielle
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, Dunod 1968.
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(3)...
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