The Moore-Penrose inverses of split quaternions

Published 20 Apr 2019 in math.RA, math-ph, math.MP, and math.NT | (1904.10532v1)

Abstract: In this paper, we find the roots of lightlike quaternions. By introducing the concept of the Moore-Penrose inverse in split quaternions, we solve the linear equations $axb=d$, $xa=bx$ and $xa=b\bar{x}$. Also we obtain necessary and sufficient conditions for two split quaternions to be similar or consimilar.

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