span

[n17...@rguktn.ac.in]

sir if we are given span that is plane then we have to find 2vectors in R^3 and they have to be linearly independent .so we get so many independent vectors .Are they considered as basis for that plane span?

[anji kavadi]

On Thursday, February 27, 2020 at 4:46:28 PM UTC+5:30, n17...@rguktn.ac.in wrote:

sir if we are given span that is plane then we have to find 2vectors in R^3 and they have to be linearly independent .so we get so many independent vectors .Are they considered as basis for that plane span?

 

for example:

The collection { i+j, j+k} is not a basis for R ³. Although it is linearly independent, it does not span all of R ³. For example, there exists no linear combination of i + j and j + k that equals i + j + k.