# Real eigenvalues and nonzero eigenvectors of 2×2 matrices

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Real eigenvalues and nonzero eigenvectors of 2×2 matrices](https://ocme.evemisslab.com/en/atlas/atlas-eigenvalue/)

An eigenvector must be nonzero, whereas a candidate-scalar kernel includes zero; a real 2×2 matrix may have no real eigenvalues.

atlas-eigenvalue · canonical_mko

[Real eigenvalues and nonzero eigenvectors of 2×2 matrices](https://ocme.evemisslab.com/en/mko/mko-eigenvalue/)

## Prerequisite nodes


- [Matrix-represented linear maps on the real plane](https://ocme.evemisslab.com/en/atlas/atlas-linear-transformation/)
- [Determinants of real 2×2 matrices](https://ocme.evemisslab.com/en/atlas/atlas-determinant/)
- [Quadratic equations over the reals](https://ocme.evemisslab.com/en/atlas/atlas-quadratic-equation/)