We prove that any quaternionic matrix of order n ≤3 admits a characteristic function, whose roots are the left eigenvalues, that satisfes Cayley-Hamilton theorem.
@article{bwmeta1.element.doi-10_2478_spma-2014-0002,
author = {E. Mac\'\i as-Virg\'os and M.J. Pereira-S\'aez},
title = {Cayley-Hamilton theorem for left eigenvalues of 3 $\times$ 3 quaternionic matrices},
journal = {Special Matrices},
volume = {2},
year = {2014},
zbl = {1291.15076},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_spma-2014-0002}
}
E. Macías-Virgós; M.J. Pereira-Sáez. Cayley-Hamilton theorem for left eigenvalues of 3 × 3 quaternionic matrices. Special Matrices, Tome 2 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_spma-2014-0002/
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