Let $M: \mathbb{R}^n\times \mathbb{R}^n \rightarrow \mathbb{R}$, $n >= 3$ be a non-degenerate bilinear form. Are there $M$, s.t. $dim(ker(M)) = 1$? What can we say in general about the dimension of the kernel?
2026-03-30 20:42:54.1774903374
Is there a non-degenerate bilinear form on $R^N$ with a one dimensional kernel?
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