Baksalary, Jerzy K.; Baksalary, Oskar Maria; Özdemir, Halim A note on linear combinations of commuting tripotent matrices. (English) Zbl 1057.15018 Linear Algebra Appl. 388, 45-51 (2004). This paper characterizes commuting tripotent matrices having a linear combination which is also a tripotent matrix. Reviewer: Ki Hang Kim (Montgomery) Cited in 25 Documents MSC: 15A27 Commutativity of matrices Keywords:tripotent matrix; idempotent matrix; commutativity; quadratic form; chi-square distribution PDF BibTeX XML Cite \textit{J. K. Baksalary} et al., Linear Algebra Appl. 388, 45--51 (2004; Zbl 1057.15018) Full Text: DOI OpenURL References: [1] Baksalary, J.K.; Baksalary, O.M., Idempotency of linear combinations of two idempotent matrices, Linear algebra appl., 321, 3-7, (2000) · Zbl 0984.15021 [2] Baksalary, J.K.; Baksalary, O.M.; Styan, G.P.H., Idempotency of linear combinations of an idempotent matrix and a tripotent matrix, Linear algebra appl., 354, 21-34, (2002) · Zbl 1016.15027 [3] O.M. Baksalary, Idempotency of linear combinations of three idempotent matrices, two of which are disjoint, Linear Algebra Appl., to appear · Zbl 1081.15019 [4] Baldessari, B., The distribution of a quadratic form of normal random variables, Ann. math. statist., 38, 1700-1704, (1967) · Zbl 0155.27301 [5] Halmos, P.R., Finite-dimensional vector spaces, (1958), Van Nostrand Princeton · Zbl 0107.01404 [6] Meyer, C.D., Matrix analysis and applied linear algebra, (2000), SIAM Philadelphia This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.