If X is the set consisting of the 6 vectors
(1,1,0,0)
(1,0,1,0)
(1,0,0,1)
(0,1,1,0)
(0,0,1,1)
in C^4. Find 2 different maximal linearly independent subsets of X.
(A maximal linearly independent subset of X is a linearly independent subset Y of X that becomes linearly dependent every time that a vector of X that is not already in Y is adjoined to Y)
Please, help

Question

If X is the set consisting of the 6 vectors
(1,1,0,0)
(1,0,1,0)
(1,0,0,1)
(0,1,1,0)
(0,0,1,1)
in C^4. Find 2 different maximal linearly independent subsets of X.
(A maximal linearly independent subset of X is a linearly independent subset Y of X that becomes linearly dependent every time that a vector of X that is not already in Y is adjoined to Y)
 Please, help

loser66 · Answer

@wio

loser66 · Answer

At first, I think it is 6P4 , but then, I don't think it 's right

anonymous · Answer

I'm not completely sure.

loser66 · Answer

I lost my confidence!!! :( just the first day of the course I get stuck at any problem.

anonymous · Answer

I'm not familiar with this maximal linearly independence stuff.

loser66 · Answer

It's ok, friend. Thanks for respond. I have class tomorrow. I will ask my prof then. :)