Prove that span ({x}) = {ax : a in F} for any vector x in a vector space. Interpret this result geometrically in R^3.
I'm a bit lost on the question. Now by definition, span ({x}) is the set of all linear combinations of the vectors, so span ({x}) = y{x} for some scalar y. Doesn't that already means that it equals to ax for any scalar a?
And what does it means in R^3?
thank you.
Sorry, I posted this in a wrong section, it should have been in Adv. Algebra, but I don't know how to move the thread.