Cui Jia
Abstract
By means of the methods of linear algebras,proved that every square matrix can be expressed as the sum of an idempotent matrix and an invertible matrix which commute with each other,and also can be written as the product of an idempotent matrix and an invertible matrix.
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By means of the methods of linear algebras,proved that every square matrix can be expressed as the sum of an idempotent matrix and an invertible matrix which commute with each other,and also can be written as the product of an idempotent matrix and an invertible matrix.
Key concepts: Invertible matrix, Square matrix, Square root of a 2 by 2 matrix, Involutory matrix, Idempotent matrix, Mathematics, Matrix (chemical analysis), Square (algebra)