Re:How Craig Barton wishes he’d taught maths
by dxbydt on Saturday February 09, 2019 @03:34PM
(#19124428)
if you don’t give me basis how’ll i span the space ?
Re:How Craig Barton wishes he’d taught maths
by zazen on Saturday February 09, 2019 @04:01PM
(#19124603)
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.
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.