Visualizing Eigenvalue and Eigenvector
u is a set of vectors of length r and v = Au. Slide t slowly until u and v are on the same line. What do you notice about u and v?
Interact with the graph a bit and scroll down to see the answer.
Did you answer v = ku? Meaning Au = ku. Such vector u is called an eigenvector and k is an eigenvalue.
How many vector u did you find?
Now, change matrix A and see if you can have a similar result.