Determine if a particular vector is in the span of a set of vectors in R^2

Created almost 9 years ago, updated about 8 hours ago

For $v=(1,2)$ and target $b=(3,6)$, the equation $cv=b$ gives $c=3$, so $b$ lies in the span. The target $(3,7)$ does not: the first coordinate forces $c=3$ while the second would require $2c=7$. A one-vector span is a line through the origin.

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