Yao Yun-fei
Abstract
Using block matrix as a tool,popularization of a conclusion for idempotent matrix is made.when a n×n idempotent matrix of rank r is decomposed into sum of m matrix Ai of rank ri,under certain conditions,the existence of a invertible matrix T satisfying T-1AT and T-1AiT(i=1,2,...,m) all being simplified quasi-diagonal matrix is proved.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Using block matrix as a tool,popularization of a conclusion for idempotent matrix is made.when a n×n idempotent matrix of rank r is decomposed into sum of m matrix Ai of rank ri,under certain conditions,the existence of a invertible matrix T satisfying T-1AT and T-1AiT(i=1,2,...,m) all being simplified quasi-diagonal matrix is proved.
Key concepts: Invertible matrix, Block matrix, Idempotent matrix, Mathematics, Rank (graph theory), Matrix (chemical analysis), Idempotence, Involutory matrix