# Is this is linear transformation?

## Homework Statement

My buddy was asking me this question. It's from his linear algebra homework.

F: R2 --> R3
F[(x1 x2)] = (x1 x2 0)

## Homework Equations

I can't remember the definition of "linear transformation." Hopefully it's not too complicated.

## The Attempt at a Solution

I don't think you have a vector with 2 rows be transformed into a vector with 3 rows. However, (x1 x2 0) really is just equal to (x1 x2), so we could have F(x)=Ix, where I is the identity matrix. (Right? I dunno. I haven't taken this class for quite some time)