Characteristic Root

中文含义：特征根

英语词性：noun

美式音标： /ˌkær.əkˈtɛr.ɪs.tɪk ruːt/

同义词：eigenvalue

易混淆单词：eigenvector

Characteristic root, also known as eigenvalue, is a linear algebra concept used to describe the behavior of a matrix.

特征根，也被称为本征值，是线性代数中用于描述矩阵行为的概念。

For a given matrix, its characteristic roots are the solutions to the equation det(A-λI) = 0, where A is the matrix, λ is the eigenvalue, and I is the identity matrix.

对于给定的矩阵，其特征根是方程det(A-λI) = 0的解，其中A是矩阵，λ是本征值，I是单位矩阵。