Most vectors get turned by a matrix. An eigenvector is a direction it leaves alone: A only stretches, shrinks or flips it, A·v = λ·v. Sweep a vector around the circle and the eigenvectors are where A·v lines up with v.
Most vectors get turned by a matrix. An eigenvector is a direction it leaves alone: A only stretches, shrinks or flips it, A·v = λ·v. Sweep a vector around the circle and the eigenvectors are where A·v lines up with v.