You talked about having "a member" and getting to every other member with scalar multiplication only. But even given a 2-member basis for R2, how are you planning on using 2 members, with scalar multiplication only?
I'm afraid you have badly misremembered this stuff.
Comments
Isn't this a 1 dimensional space. Eg. Consider the vector space R2 over R.
If you have the vector (1,0), there is no way to arrive at the vector (1,1) through just scalar multiplication.
if you don’t give me basis how’ll i span the space ?
You talked about having "a member" and getting to every other member with scalar multiplication only. But even given a 2-member basis for R2, how are you planning on using 2 members, with scalar multiplication only?
I'm afraid you have badly misremembered this stuff.
you are right.