Nonsigularity of linear combinations of idempotent matrices
Zuo Li
Abstract
Zuo Li
Abstract
Let T1,T2,T3 be any three nonzero n×n tripotent matrices which are different and nutually commutative and let c1,c2,c3 be nonzero scalars. In the paper. the characterizations of the nonsigularity of the combination c1T1+c2T2+c3T3 are presented.
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Let T1,T2,T3 be any three nonzero n×n tripotent matrices which are different and nutually commutative and let c1,c2,c3 be nonzero scalars. In the paper. the characterizations of the nonsigularity of the combination c1T1+c2T2+c3T3 are presented.
Key concepts: Mathematics, Idempotence, Commutative property, Pure mathematics, Algebra over a field, Combinatorics, Discrete mathematics