hello,
i'm studying vectors, and i have come across spanning, linear independency and bases.
i have two bases in v3® which are
1) (1,0,0) , (0,1,0) , (0,0,1)
2) (1,0,3) , (2,1,4) , (1,0,0)
i have shown these to be linearly independent as this is one of the points that must be met for a base to occur.
The second point is to show that they are spans of their own set, for this i know they must have some linear combination.
This is the bit that is confusing me, how can i show the linear combinations, basically how do i prove the second point of having a base.
Any ideas?