- #1
latentcorpse
- 1,444
- 0
HI. Okay
Consider
[itex]
\[\left(\begin{array}{c}
0\\
0\\
0\end{array}\right)\] ,
\[\left(\begin{array}{c}
1\\
1\\
0\end{array}\right)\] ,
\[\left(\begin{array}{c}
1\\
0\\
1\end{array}\right)\] ,
\[\left(\begin{array}{c}
0\\
1\\
1\end{array}\right)\] as a subspace of \mathbb{Z}_{2}^{3}
[/itex]
In my notes I've written that this is a 2 dimensional subspace. How?
As far as I can see they are all linealry dependent vectors as if you add 1 of each of them you get back to the zero vector. No?
Consider
[itex]
\[\left(\begin{array}{c}
0\\
0\\
0\end{array}\right)\] ,
\[\left(\begin{array}{c}
1\\
1\\
0\end{array}\right)\] ,
\[\left(\begin{array}{c}
1\\
0\\
1\end{array}\right)\] ,
\[\left(\begin{array}{c}
0\\
1\\
1\end{array}\right)\] as a subspace of \mathbb{Z}_{2}^{3}
[/itex]
In my notes I've written that this is a 2 dimensional subspace. How?
As far as I can see they are all linealry dependent vectors as if you add 1 of each of them you get back to the zero vector. No?