Subspace problem

mooshupork34

Junior Member
Joined
Oct 29, 2006
Messages
72
This problem was confusing me so any explanations would be helpful and greatly appreciated!

Examine S \(\displaystyle \subset\) R^5 defined by

S = {x_1, x_2, x_3, x_4, x_5 \(\displaystyle \epsilon\) R^5|x_2 = 0, x_3 + x_4 = x_5}.

Verify that the subset S is, in fact, a subspace.[/tex]
 
mooshupork34 said:
Verify that the subset S is, in fact, a subspace.
Do you know the meaning of subspace?
Is the set closed under addition and scalar multiplication?
What else is necessary of a subset to be a subspace?
 
Top