Elem lin algebra (Vector space question)

[Miike012]

How is the following a vector space if it does not have a zero vector?

 

[Mark44]

If the space has a vector e such that x + e = x, for any vector x in the space, then e is acting as the zero vector. More formally, e is the additive identity.

 

[Miike012]

but e = (0,0) is not of the form (1,x)

 

[SammyS]

but e = (0,0) is not of the form (1,x)

But for this vector space, e ≠ (0, 0).

What is e for this vector space?

 

[Miike012]

is it (1,0)?

 

[SammyS]

is it (1,0)?

Yes, that's e .