Ok, to clear things up a little
Given vectors X1, X2..., X3 in R^n, a vector in the form X = t1 X1 + t2 X2 + ... tk Xk
1. the set of such linear combinations is called a span of the Xi and denoted by span{X1, X2, ...Xk}
2. If a family of vectors is linearly independent none of them can be...