Is at least one eigenvector guaranteed to exist given that we have found at least one eigenvalue? So, for example, given that we have found an eigenvalue of multiplicity 2 of a matrix, are we guaranteed to find at least 1 eigenvector of that matrix? Why or why not?(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Quick question about Eigenvectors

Loading...

Similar Threads for Quick question Eigenvectors | Date |
---|---|

I Modular form quick question translation algebra | Dec 22, 2016 |

I Quick question about Lagrange's theorem | Sep 22, 2016 |

Quick Question: SO(n) vs SO(n,1) ? | Dec 5, 2014 |

Quick question about subgroups of "odd" dihedral groups | Dec 3, 2014 |

Quick question about Automorphisms | Nov 26, 2014 |

**Physics Forums - The Fusion of Science and Community**