Questions tagged [tensor-rank]

For questions about tensor-ranks.

The term rank of a tensor extends the notion of the rank of a matrix in linear algebra, although the term is also often used to mean the order (or degree) of a tensor. The rank of a matrix is the minimum number of column vectors needed to span the range of the matrix.

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if $\mathrm{rank}(A)=m$ and $\mathrm{rank}(B)=n$, is that true that $\mathrm{rank}(A\otimes B)$ equal to $\mathrm{rank}(A)*\mathrm{rank}(B)$?

Please help me... if I have $A,B$ are matrices and $\mathrm{rank}(A)=m$ and $\mathrm{rank}(B)=n$, is that true that $\mathrm{rank} (A\otimes B)$ equal to $\mathrm{rank}(A) * \mathrm{rank}(B)$? if false, what the true about $\mathrm{rank}(A\otimes…
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