How many vectors
are in the in the $span\left{\begin{pmatrix}7&-4&-6\end{pmatrix},\begin{pmatrix}-8&5&7\end{pmatrix},\begin{pmatrix}7&0&-5\end{pmatrix}\right}$

there has GOT to be an easier way to code up column vectors .....

Question

How many vectors
are in the in the $span\left{\begin{pmatrix}7&-4&-6\end{pmatrix},\begin{pmatrix}-8&5&7\end{pmatrix},\begin{pmatrix}7&0&-5\end{pmatrix}\right}$

there has GOT to be an easier way to code up column vectors .....

amistre64 · Answer

$$ span\left{ \begin{pmatrix}7&-4&-6
\end{pmatrix},
\begin{pmatrix}-8&5&7
\end{pmatrix},
\begin{pmatrix}7&0&-5
\end{pmatrix}\right}$$

amistre64 · Answer

yeah, this thing doesnt code well ....

amistre64 · Answer

7  -8   7
-4    5   0
-6    7  -5

are the vectors in the span

experimentx · Answer

how do you describe the system ... i would say 3 vectors with 3 components

amistre64 · Answer

I thought 3 vectors as well; but apparently my error is in interpreting the terminology ...

amistre64 · Answer

how many vectors are in the set {v1,v2,v3}?  3

how many vectors are in the span{v1,v2,v3}?  infinite

kinggeorge · Answer

unless your vector field only has a finite number of elements. Then it's not infinite. However, assuming you're in $\mathbb{R}^3$, you're right.

amistre64 · Answer

If the question had asked:  How many vectors can be made from span{v1,v2,v3} id have understood it better :)

kinggeorge · Answer

On one of my tests a few weeks ago, not a single person in the class used the "correct" method to find the answer to a problem.  The teacher ended up admitting his wording was quite terrible.