Title: The Necessary and Sufficient Conditions for Idempotent Matrix and Rank-idempotent Matrix
Abstract: A matrix of satisfying A= A2 is called idempotent matrix.It is an idempotent element of matrix ring Mn(F).A matrix of satisfying r(A)= r(A2) is called rank-idempotent matrix.They are closely related to decomposition of space and invariant subspace.Some properties of idempotent matrix and rank-idempotent matrix are discussed by using methods of linear space.The necessary and sufficient conditions for idempotent matrix and rank-idempotent matrix are given.
Publication Year: 2011
Publication Date: 2011-01-01
Language: en
Type: article
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Cited By Count: 1
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