A theorem in class stated that for vectors v1,...,vm Rn their span span(v1,...,vm) is a subspace of Rn. (b) As a group, recall the definition of the span of vectors. 1 (c) Someone on the internet mentioned the following analogy: "Consider the colors red and blue. Then you can think of set the of all colors you can mix from red and blue as the span of red and blue." Can you explain this? Vectors v1, . . . , vp are said to be linearly independent if the equation x1v1 +x2v2 ++xpvp =0 has only the trivial solution (namely, x1 = x2 = = xp = 0). 1 0 1 (d) As a group, discuss why the vectors 0 , 1 , 1 are not linearly independent