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dot_product
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Let $\def\m#1{\begin{bmatrix}#1\end{bmatrix}}\vec v=\m{v_1\\v_2\\\vdots\\v_n}$ and $\vec w=\m{w_1\\w_2\\\vdots\\w_n}$ be two (column) vectors in $\mathbb{R}^n$. The dot product of $\vec v$ and $\vec w$ is the real number $\vec v\cdot \vec w$ given by \[ \vec v\cdot\vec w=v_1w_1+v_2w_2+\dots+v_nw_n.\] In other words, $\vec v\cdot \vec w$ is the row-column product $(\vec v)^T\vec w$ of the transpose of $\vec v$ with $\vec w$.
dot_product.1428400981.txt.gz · Last modified: by rupert