noun🔗Share特征向量 Given a linear transformation T, a vector x such that Ax=\lambda x for some scalar \lambda"When stretching a photograph horizontally, an eigenvector of the transformation could be a vertical line; it remains a vertical line, only changing in length (or possibly direction, if the scaling factor is negative). "当水平拉伸一张照片时,这种变换的特征向量可能是一条垂直线;它仍然保持为一条垂直线,只是长度发生了改变(或者,如果缩放因子是负数,方向可能也会改变)。mathtechnicalscienceChat with AIVocabulary GamePractice Reading
noun🔗Share特征向量 Specifically, given a matrix A, the eigenvector of the transformation "leftside multiplication by A""After being multiplied by a specific matrix representing a stretching and rotation, the eigenvector remains pointing in the same direction, only scaled in length. "被一个代表拉伸和旋转的特定矩阵相乘后,特征向量的方向保持不变,只是长度会发生变化。mathsciencephysicstechnicalcomputinglogicChat with AIVocabulary GamePractice Reading