Popularization of a conclusion for idempotent matrix
Yao Yun-fei · Journal of Fuyang Teachers College · 2011
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.