Linear Algebra, Mathematics, Data Analysis, Python, Computer Science.
compresses the vector. In contrast, the eigenvalues tell us the amount of stretching or compression in those directions. For example, in our 2x2 matrix A = [3 1; 2 4], the eigenvector x1 = [-1; 1] corresponds to the eigenvalue λ1 = 2. This means that when we apply the transformation represented by