Some rank equalities for finitely many tripotent matrices

ýA rank equality is established for the sum of finitely many tripotent matrices via elementary block matrix operationsý. ýMoreoverý, ýby using this equality and Theorems 8 and 10 in [Chen Mý. ýand et alý. ýOn the open problem related to rank equalities for the sum of finitely many idempotent matrices and its applicationsý, ýThe Scientific World Journal 2014 (2014)ý, ýArticle ID 702413ý, ý7 pagesý.]ý, ýsome other rank equalities for tripotent matrices are givený. ýFurthermoreý, ýwe obtain several rank equalities related to some special types of matricesý, ýsome of which are available in the literatureý, ýfrom the results establishedý.