Idempotency of linear combinations of commuting three tripotent matrices

Wiwat Wanicharpichat, Urailuk Singthong

Abstract


Given nonzero commuting tripotent matrices T1,T2 and 3 T , i.e., 3 = i i T T and TiTj =TjTi, i, j = 1, 2, 3, the problem of characterizing all situations, in which a linear combination1 1 2 2 3 3 A = c T + c T + c T where 1 2 3 c ,c ,c ?????? \{0}is an idempotent matrix, is studied.

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