- #1
Mdhiggenz
- 327
- 1
Homework Statement
Determine whether the following sets form subspaces of R2
{(x1,x2)T|x1=3x2}
So I rewrote the set in order for it to be homogenous ( I'm not sure why we would do that but I saw a problem saying if we can do it to do it.
{(x1,x2)T|x1-3x2=0}
So my logic when solving subspace problems is I want to make sure that what is on the right side is true, and will be closed under scalar multiplication and addition.
using the matrix (1,1)T to check I get 1-3≠0 so it is not closed under addition.
Not sure if I'm doing this correctly the concept is really confusing.