2748 — Full Determinant Needs One Kernel Reference to Recover the Cross Minor
In invariant coordinates , , the determinant has kernel spanned by . One additional scalar port is minimally sufficient exactly when it is nonzero on that kernel; the diagonal product is the simplest candidate. Positive matrices with identical trace, determinant, and spectrum but different cross minors prove that positivity supplies no labelled eigenframe reference.
- Packet:
research/kitaev/full-determinant-needs-one-kernel-reference-to-recover-the-cross-minor.md - Checker:
research/kitaev/checkers/check_determinant_cross_minor_reference.py - Results:
research/kitaev/results/determinant-cross-minor-reference.json - Sequence:
seqclaim-d32ec3e272ff85590869456a - Epistemic graph:
ev-000000004198-4a8bc746-eb2a-453b-b2ba-ae3e9a59113b
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