TY - JOUR
ID - 1037
TI - Some rank equalities for finitely many tripotent matrices
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Petik, T.
AU - Ozdemir, H.
AD - Sakarya University, Department of Mathematics, Sakarya, 54187, Turkey.
Y1 - 2017
PY - 2017
VL - 43
IS - 5
SP - 1479
EP - 1493
KW - rank
KW - elementary block matrix operations
KW - idempotent matrix
KW - tripotent matrix
DO -
N2 - A rank equality is established for the sum of finitely many tripotent matrices via elementary block matrix operations. Moreover, by using this equality and Theorems 8 and 10 in [Chen M. and et al. On the open problem related to rank equalities for the sum of finitely many idempotent matrices and its applications, The Scientific World Journal 2014 (2014), Article ID 702413, 7 pages.], some other rank equalities for tripotent matrices are given. Furthermore, we obtain several rank equalities related to some special types of matrices, some of which are available in the literature, from the results established.
UR - http://bims.iranjournals.ir/article_1037.html
L1 - http://bims.iranjournals.ir/article_1037_3ff83cd867821e50f12900bc578fc89c.pdf
ER -