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单词 Secular determinant
释义

Secular determinant

中文百科

特征多项式 Characteristic polynomial

(重定向自Secular determinant)

在线性代数中,对一个线性自同态(取定基即等价于方阵)可定义其特征多项式,此多项式包含该自同态的一些重要性质,例如行列式、迹数及特征值。

英语百科

Characteristic polynomial 特徵多项式

(重定向自Secular determinant)

In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It has the determinant and the trace of the matrix as coefficients. The characteristic polynomial of an endomorphism of vector spaces of finite dimension is the characteristic polynomial of the matrix of the endomorphism over any base; it does not depend on the choice of a basis. The characteristic equation is the equation obtained by equating to zero the characteristic polynomial.

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