Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. Plural form of eigenvector.
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Examples

The eigenvectors are the directions in which a matrix A transforms a vector “eigenly”–it doesn’t change the vector’s direction, it only dilates it by the scalar amount z.

“Math professors love us because Google has made eigenvectors relevant to every matrix algebra student in America,” says Marissa Mayer.

Observe any N variables that are not fully correlated and you can summarize the information in an N by N correlation matrix which has N orthogonal real eigenvectors.

In the case that the vector is normalized, it will, from (3.1), represent a possible state of the system, and in the event that it is the sum of a pair of eigenvectors of an observable B with distinct eigenvalues, it will not itself be an eigenvector of B, but will be associated, from (3. 4b), with a set of probabilities for showing one or another result in Bmeasurements.

The annullment of eigenvectors on the Weyl tensor gives the Ntype solutions, of which the ppwaves for gravity waves are an example of.

Now eigenvectors are basically symmetric or “stable” solutions, a classical example being the way a rotating rigid body evolves to rotate about a principle axis, and this symmetry is also a key aspect of my proposal.

The solution types are determined by eigenvectors of the Weyl curvature and their eigenvalues.

Why eigenvalues and eigenvectors (a.k.a. eigenstates)?
Everything You Ever Wanted to Know About Quantum Mechanics, But Were Afraid to Ask

This classification involves Killing eigenvectors of the Weyl curvature.

In effect, as you go from 0 to m retained PCs, you define a path from PLS to OLS in which each step is generated by …, the truncated eigenvector matrix with 1,2,..,m eigenvectors.
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