Title: Row-reduced Idempotent Matrix and the Canonical General Solution of the Linear Equations Systems
Abstract: The definition of row-reduced idempotent matrix is proposed,and we prove that the given n×n matrix A is row equivalent with the uniqueness of the row-reduced idempotent matrix AD,therefore,the matrix A can decompose into the product of an invertible matrix and an uniqueness of the row-reduced idempotent matrix.As the application of the results,it not only proves the uniqueness of generalized row-reduced idempotent matrix for given m×n matrix A which determined,but also helps to get the display matrix of the canonical general solution of the systems of nonhomogeneous linear equations Ax=d.
Publication Year: 2013
Publication Date: 2013-01-01
Language: en
Type: article
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