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UnkleRhaukusBest ResponseYou've already chosen the best response.1
you need a minimum of four vectors to span \( \mathcal{R} ^4\)
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
depends on your definition of span
 one year ago

amistre64Best 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
 one year ago

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

RomeroBest ResponseYou've already chosen the best response.0
so a vector with 4 terms is in R^4 right?
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
yeap, even if some of them are zero
 one year ago

UnkleRhaukusBest 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 \[\left\{ \left( \begin{array} \\1\\0\\0\\0\end{array}\right), \left(\begin{array}\\0\\1\\0\\0\end{array}\right),\left(\begin{array}\\0\\0\\1\\0\end{array}\right),\left(\begin{array}\\0\\0\\0\\1\end{array}\right)\right\}\]
 one year ago
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