ataraxia
Jan27-08, 05:04 PM
Hey guys,
I need to prove a few theorems about vector spaces using the axioms.
a) Prove: if -v = v, then v = 0
b) Prove: (-r)v = -(rv)
c) Prove: r(-v) = -(rv)
d) Prove: v - (-w) = v + w
where r is a scalar and v, w are vectors.
I need to prove a few theorems about vector spaces using the axioms.
a) Prove: if -v = v, then v = 0
b) Prove: (-r)v = -(rv)
c) Prove: r(-v) = -(rv)
d) Prove: v - (-w) = v + w
where r is a scalar and v, w are vectors.