How to determine a basis given a set of vectors?

[dmitriylm]

Homework Statement

Let V be the subspace spanned by the following vectors:
[ 0]...[ 1 ]...[2]
[ 2]...[ 1 ]...[5]
[-1]...[3/4]...[0]

Determine a basis for V.

The Attempt at a Solution

I'm not quite sure how to start here. Would placing the vectors in a matrix and deriving its reduced echelon form give me a basis?

 

[Mark44]

Homework Statement

Let V be the subspace spanned by the following vectors:
[ 0]...[ 1 ]...[2]
[ 2]...[ 1 ]...[5]
[-1]...[3/4]...[0]

Determine a basis for V.

The Attempt at a Solution

I'm not quite sure how to start here. Would placing the vectors in a matrix and deriving its reduced echelon form give me a basis?

Are these row vectors or column vectors?

 

[dmitriylm]

Are these row vectors or column vectors?

These are column vectors.

 

[Mark44]

If the three vectors are linearly independent, they are your basis. If they're linearly dependent, some subset of them will be your basis.