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UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
you need a minimum of four vectors to span \( \mathcal{R} ^4\)
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
depends on your definition of span
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
can a single vector hit all of the points in R^4? No can a single vector stretch thru R^4? yes
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
a single vector of \(\mathbb{R}^4\) is just a point, it has no span
 2 years ago

Romero Group TitleBest ResponseYou've already chosen the best response.0
so a vector with 4 terms is in R^4 right?
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
yeap, even if some of them are zero
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
To span \(\mathbb{R}^4\) you will need four linearly independent vectors in \(\mathbb{R}^4\) such as \[\left\{ \left( \begin{array} \\1\\0\\0\\0\end{array}\right), \left(\begin{array}\\0\\1\\0\\0\end{array}\right),\left(\begin{array}\\0\\0\\1\\0\end{array}\right),\left(\begin{array}\\0\\0\\0\\1\end{array}\right)\right\}\]
 2 years ago
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