Opened 5 years ago

## #18071 new defect

# eigenvectors for matrices in AA claim to be not implemented

Reported by: | tmonteil | Owned by: | |
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Priority: | major | Milestone: | sage-6.6 |

Component: | linear algebra | Keywords: | |

Cc: | Merged in: | ||

Authors: | Reviewers: | ||

Report Upstream: | N/A | Work issues: | |

Branch: | Commit: | ||

Dependencies: | Stopgaps: |

### Description

As reported on this ask question, we have:

sage: M=matrix(ZZ,[[0,-1],[1,0]]) sage: M.eigenvectors_right() [(-1*I, [(1, 1*I)], 1), (1*I, [(1, -1*I)], 1)] sage: M = M.change_ring(QQbar) sage: M.eigenvectors_right() [(1*I, [ (1, -1*I) ], 1), (-1*I, [ (1, 1*I) ], 1)]

but

sage: M = M.change_ring(AA) sage: M.eigenvectors_right() NotImplementedError: eigenvectors are not implemented for matrices with eigenvalues that are not in the fraction field of the base ring or in QQbar

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