'eigenvector'是英语单词,中文翻译为“特征向量”。在线性代数中,特征向量是指对于一个线性变换,经过某种变换后方向不改变,只改变其长度的非零向量,它是与一个矩阵对应的特征值相对应的向量。
以下是9个含有'eigenvector'的例句:
1. The eigenvectors can be used to analyze the principal components of the data.(特征向量可用于分析数据的主成分)
2. The largest eigenvector of the adjacency matrix is the leading eigenvector.(邻接矩阵的最大特征向量是主特征向量)
3. The eigenvectors of a symmetric matrix are always orthogonal.(对称矩阵的特征向量总是正交的)
4. The eigenvectors of a matrix can be found by solving a system of linear equations.(可以通过解一个线性方程组来找到矩阵的特征向量)
5. The eigenvectors of a diagonal matrix are the basis vectors.(对角矩阵的特征向量是基向量)
6. The eigenvectors of a matrix represent the directions along which the matrix scales the data.(矩阵的特征向量代表了矩阵对数据进行缩放的方向)
7. The eigenvectors of a matrix can be used to perform a principal component analysis.(矩阵的特征向量可用于进行主成分分析)
8. The eigenvectors of a Hermitian matrix are mutually orthogonal.(Hermitian矩阵的特征向量相互正交)
9. The eigenvectors of a matrix span the subspace associated with the eigenvalues.(矩阵的特征向量张成与特征值相关联的子空间)
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