Answer by Denis Serre for Rank-1 decomposition conjecture for matrix with...
The answer is NO. Take $l=m=3$ and the generic skew-symmetric matrix$$A:=\begin{pmatrix} 0 & x & y \\\\ -x & 0 & z \\\\ -y & -z & 0 \end{pmatrix}.$$The rank is $k=2$, yet it...
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Can Anyone prove the following conjecture?Consider $k$ rational function vectors $V_1(x_1,\cdots,x_n),\cdots,V_k(x_1,\cdots,x_n)$. They are called \textbf{linearly dependent} if there exists rational...
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