- #1

Miike012

- 1,009

- 0

_{1},u

_{2}) and v = (

_{1},v

_{2})

u + v = (u

_{1}+v

_{1},u

_{2}+v

_{2})

ku = ( 0 , ku

_{2})

The book says that the axiom -u + u = 0 holds true for the given addition and scalar mult.

Which it obviously does not by the given scalar mult...

Hence: u + (-u) = (u

_{1},u

_{2}) + (0,-u

_{2}) = (u

_{1},0) ≠ 0.

Am I right or wrong?