Abstract
Chen M. and et al. have solved an open problem related to rank equalities for the sum of finitely many idempotent matrices using the Gaussian elimination method 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]. In this work, it is obtained a similar rank equality for the sum of finitely many involutive matices and derived some results from this equality
Highlights
solved an open problem related to rank equalities for the sum
On the open problem related to rank equalities for the sum
Chen M. et al On the open problem related to rank equalities for the sum
Summary
Sonlu tane idempotent matrisin toplamı için rank eşitliği ile ilgili açık bir problem Gauss eliminasyon yöntemi ile Chen M. ve arkadaşları tarafından çözülmüştür [Chen M. 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]. Bu çalışmada sonlu tane involutif matrisin toplamı için benzer bir rank eşitliği elde edilmekte ve bu eşitlikten de bazı sonuçlar türetilmektedir. Anahtar Kelimeler: idempotent matris; involutif matris; rank. Sakarya University, Faculty of Arts and Sciences, Department of Mathematics, Sakarya, Turkey
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