Constitution of Linear Combinations of Idempotent Matrices and its Properties

摘要

Constructing linear combinations of idem potent matrices is one of important issues. This paper firstly proposes the definition of n - by - n idem potent matrix of k. Then, the conditions that linear combination of idem potent matrix is idem potent matrix are proposed, also by using these properties, constructing method of idem potent matrix is given. Finally, the power of linear combination of idem potent matrix is discussed.