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arXiv · 2511.17530

Orthogonal tripotent matrices

Tan Mei·Kezheng Zuo·Wanlin Jiang
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Abstract

In this paper, we present different characterizations of tripotent orthogonal matrices (i.e., A^3 = A = A^* ) in terms of matrix equations, integer powers of AA^* and A^*A, average of A, A^*, and A^{\dagger}, rank of matrices, and trace of matrices. We study certain properties of this class of matrices.

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Tan Mei, Kezheng Zuo, Wanlin Jiang. 2025-10-29. Orthogonal tripotent matrices. https://arxiv.org/abs/2511.17530

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