I have one question about the span thing in linear algebra.
So I got this linear solution, (x1,x2)=t*(-2,1)
But when I have to write the 'span', can I just pick any number for t, such can I write, span for t=-1, so the solution is, span(2,-1)
or the span is just the vector which is being multiplied by t, therefore will it just be, span(-2,1)
Which one is the correct one? Thanks for the help :D
We say that the span of $(-2,1)$ is the line $\{t(-2,1):t\in\mathbb R\}$; that is, a vector generates its span.