noun🔗ShareGiven 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). "mathtechnicalscienceChat with AIVocabulary GamePractice Reading
noun🔗ShareSpecifically, 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. "mathsciencephysicstechnicalcomputinglogicChat with AIVocabulary GamePractice Reading