秩1矩阵的性质及其在统计学中的应用

The Properties of Rank 1 Matrix and Its Application in Statistics

摘要: n维列向量x与x^T的乘积，为秩为1的矩阵xx^T。本文对这种秩1矩阵的结构、乘法运算、特征值与特征向量等性质进行了讨论，结合这些性质重点讨论了秩1矩阵在统计学中的应用。

Abstract: Rank 1 matrices is the product of the n dimensional column vectors x and x^T. This paper discussed some properties of the matrices with rank 1, like the structure, multiplication, eigenvalues and eigenvectors etc., and further analyzed the applications of the matrices applied in Statistics.