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Version 11 |
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A \emph{linear combination} of vectors $\vec{v}_1,\dots,\vec{v}_n$
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A \emph{linear combination} of the vectors $\vec{v}_1,\dots,\vec{v}_n$
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of a vector space $V$ over a field $F$ is a vector of the form
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in a vector space $V$ over a field $F$ is a vector of the form
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| $$\sum_{i=1}^n a_i\vec{v}_i,$$ |
$$\sum_{i=1}^n a_i\vec{v}_i,$$ |
| where the $a_i$ are elements of $F$. |
where the $a_i$ are elements of $F$. |
