1
$\begingroup$

I know how to determine the eigenvalues and eigenvectors of a given matrix $A$, but we were not really explained to what exactly ARE eigenvalues and eigenvectors, what is their purpose and what exactly do/can they tell us about a matrix/system?

Can someone please provide me with some information about this? It will be much appreciated.

$\endgroup$
3
$\begingroup$

If $A$ is an $n \times n$ matrix, the nonzero $n$-component column vector $x$ is an eigenvector for eigenvalue $\lambda$ if $A x = \lambda x$.

See e.g. Wikipedia which discusses many of the uses of these.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.