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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

Keywords

• idempotent matrix; involutive matrix; rank

Sonlu Tane İnvolutif Matrisin Toplamının Rankı Üzerine Bir Çalışma

Abstract

Chen M. and et al. have solved the open problem related to rank equalities for the sum of finitely many idempotent matrices by using the Gussian elimination method (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.

Keywords

• idempotent matris; involutif matris; rank

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