What’s an eigenvalue? What about an eigenvector?

The eigenvalues of a linear transformation are the directions in which it compresses, flips, or stretches. To comprehend these linear changes, eigenvectors are utilized.

The eigenvector, for example, may be used to better understand the covariance of a covariance matrix by identifying the direction in which the covariances are moving. The relevance of each character will be expressed by the eigenvalues.

Both eigenvalues and eigenvectors are important in computer vision and machine learning applications. Principal component analysis for dimensionality reduction is the most common of them.