12. The real case
12.1 General
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
Similarity and congruence. Real symmetric matrices
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