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Re:How Craig Barton wishes he’d taught maths by gizmo686 on Saturday February 09, 2019 @03:24PM (#19124376)
>A working definition of a space might be - you have a member in that space, you can get to every other member by just scalar mult.

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.

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.

Re:How Craig Barton wishes he’d taught maths by dxbydt on Saturday February 09, 2019 @04:07PM (#19124633)
you are right.