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For nonzero rank-one matrices with compatible positive scaling, the normalized Frobenius inner product equals the product of the two factor cosines. The provided comparison gives about 0.962359729. This describes directional similarity of the selected operator pair, not equality of matrices or unchanged behavior.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| cos_A | Input-factor cosine |
| cos_B | Output-factor cosine |
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Original context
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For the 150–200 checkpoint comparison, the product of factor cosines is The two leading PCA explained-variance fractions sum to
Exact original notation
0.9975956592106836\times 0.9646791461958234=0.9623597287760218,
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Sources & provenance
0.9975956592106836\times 0.9646791461958234=0.9623597287760218,
0.9975956592106836\times 0.9646791461958234=0.9623597287760218,