k次幂等矩阵和矩阵的正交性  

K Degree Idempotent Matrix and the Orthogonality of Idempotent Matrix

作　　者：金慧萍[1] 吴妙仙 

机构地区：[1]义乌工商职业技术学院教务处,浙江义乌322000 [2]浙江广厦职业技术学院,浙江东阳322100

出　　处：《茂名学院学报》2010年第1期55-57,共3页Journal of Maoming College

摘　　要：通过对k次幂等矩阵的讨论,证明了在代数等价之下的幂等矩阵有相同的特征值,给出了用矩阵的代数等价来刻划幂等矩阵的正交性。同时,也给出了幂等矩阵的秩刻划,推广了二次和三次幂等矩阵秩的相关结果。Some properties on k degree idempetent matrixes are discussed and they are proved to have the same characteristic values under the algebraically equivalent. At the same time the orthogonality of idempotent matrixes is also described with algebraically equivalent. Furthennore, a characterization about the rank of idempetent matrixes is presented, which popularizes the results when k = 2 and 3.

关 键 词：幂等矩阵 代数等价 正交性 

分 类 号：O151.21[理学—数学]