202407200344
Status: #idea
Tags: Linear Algebra
State: #nascient

Eigenvector

A non-zero vector for which, the following equation holds.

Where $\lambda$ is a number. And $x$ is a non-zero vector.
0 cannot be an eigenvector, but is contained in all the eigenspaces.

The why is that 0-eigenvector makes the relation trivial.

They live in eigenspaces.

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