Difference between Eigenvectors and Eigenvalues

Question

I am trying to explore the difference between Eigenvectors and Eigenvalues.
Can someone please tell me the difference?

Answer 1

Eigenvectors are used for understanding linear transformations. In data analysis, we usually calculate the eigenvectors for a correlation or covariance matrix. Eigenvectors are the directions along which a particular linear transformation acts by flipping, compressing or stretching.

Eigenvalue can be referred to as the strength of the transformation in the direction of eigenvector or the factor by which the compression occurs.