Elem lin algebra (Vector space question)

1. Mar 4, 2012

Miike012

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

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2. Mar 4, 2012

Staff: Mentor

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.

3. Mar 4, 2012

Miike012

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

4. Mar 4, 2012

SammyS

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

What is e for this vector space?

5. Mar 4, 2012

is it (1,0)?

6. Mar 4, 2012

SammyS

Staff Emeritus
Yes, that's e .