Hello, i am studying vector subspacess and Axler introduces the two criteria for a vector subspace (closure under addition and scalar multiplication).(adsbygoogle = window.adsbygoogle || []).push({});

He then proceeds to give an example; (x1,x2,x3,x4) belonging to F^4 : x3=x4+b, where b is an element of F. Axler states that this example is not a subspace unless b=0, yet this is the same space as V and i was under the impression (Axler states it himself) that V is a subspace of itself? Should not any value of b in F be possible?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Question on Remark in Axler's Linear Algebra

**Physics Forums | Science Articles, Homework Help, Discussion**