10:45 AM
The tag has been created. According to list of new tags it has been created Nov 21 at 10:29.
2

I want to show that in $\mathbb{R^4}$ there is an infinite sequence of $2-$dimensional subspaces $W_1, W_2, \dots$ such that for each $i \neq j$ we have $W_i \cap W_j = \{0\}$. How do I go about this? Edit: After some thought I have come up with this. If we write down a 4 by 4 matrix $A = [... 0 True or False. Let$S=\{v_1, v_2, ...., v_p\}$be a subset of a vector space$V$. If$\text{span}(S)=V$then some subset of$S$is a basis for$V$. My answer: False. Because if$\text{span}(S)=V$then ALL subsets of$S$should form a basis for$V$. 4 I've encountered this situation. Let$p$be a prime number,$V$a$\mathbb{Q}$-linear space of dimension$p$and some basis$v_0,\dots, v_{p-1}$, now let$u_0$be a vector $$u_0 = v_{i_1} + \cdots + v_{i_k},$$ where the indexes are different and some are missing (i.e.$k<p\$). Now we are going ...

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i m trying to make general case but i cannot find such matrix. For a system of linear equations Ax=b, construct a matrix A and a vector b such that b is not in ColA. i m trying to solve it for 2 days but couldnot understand it.

The tag called simply basis has been removed a few times. Even blacklisting was suggested here: Can we delete the [basis] tag?
Should be removed for the same reason? Or is this tag somehow better than ?

5 hours later…
4:13 PM
There is a tag called both on meta.SE and meta.MO so I thought that it might be reasonable also here.
I went ahead an created the tag in the following question. If you think the tag is no good, feel free to let me know or simple remove it.
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I joined Mathematics SE community approximately 4 months, and I have not missed two things from the day I joined the community. First is attempting an answer for questions and asking my doubts and second is finding someone in my locality/school/tuition who knew about something so called MATHEMAT...

This tag was previously discussed in this chatroom: chat.stackexchange.com/transcript/3740/2015/4/10
Apr 10 '15 at 6:43, by Martin Sleziak
Would tags such as or or useful on our meta? Or do we already have a tag sutiable for such questions?
Apr 10 '15 at 13:36, by barto
seems good to me.
Now that I noticed that there is already existing tag, perhaps the newly created one is redundant. So I will simply remove it and use this one instead.