(Solved): Select all true statements below. There may be more than one. (Note: only select statements you th ...

Select all true statements below. There may be more than one. (Note: only select statements you think are true. False statements are worth negative points so if you just select all the statements you'll get zero points. Likewise, if you select some true and some false statements, you'll get partial credit but not full credit.) A. The span is all linear combinations of the set. B. The span of a set is all the vectors in the set. C. The span is how far the vectors reach across $$\mathrm{n}$$-dimensional space. D. The span of a set of vectors is the set of all linear combinations of the vectors in the set. E. If $$S=\left\{v_1,v_2,v_3\right\}$$ then $$?S?=\left\{2v_1+5v_2?7v_3\right\}$$ F. The span of a set of vectors has infinitely many vectors in it. G. The span of a set of vectors is the number of vectors in the set. H. If $$S=\left\{v_1,v_2,v_3\right\}$$ then $$?S?=\left\{{?}_1{v}_1+{?}_2{v}_2+{?}_3{v}_3?{?}_1,{?}_2,{?}_3?\mathbb{C}\right\}$$ I. The span of a set of nonzero vectors has infinitely many vectors in it.