Abstract
Доказано, что над любым коммутативным кольцом билинейная сложность операции умножения $3\times 2$ матрицы на $2\times3$ матрицу равна $15$. Иными словами, известная схема Хопкрофта - Керра для умножения таких матриц является оптимальной, при любой области скаляров.
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