The set of solutions of a system of linear equations is an affine set. I know that

$\displaystyle \Bigl\{\sum^N_i \alpha_i \mathbf{v}_i \Big| \sum^N_i\alpha_i=1\Bigr\}$, but how can this help me?

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- Nov 17th 2011, 02:22 PMgotmejerryWhy is this true?
The set of solutions of a system of linear equations is an affine set. I know that

$\displaystyle \Bigl\{\sum^N_i \alpha_i \mathbf{v}_i \Big| \sum^N_i\alpha_i=1\Bigr\}$, but how can this help me?