Linear Algebra, Data Science, Applied Machine Learning.
along which the action of A is purely a scaling (by the corresponding eigenvalue). For example, when the transformation A is applied to the first eigenvector e₁, we get λ₁e₁ where λ₁=3 is the corresponding eigenvalue. Transformation of e₁ leading to λ₁e₁. Visually, we have: Transformation of e₁