linear equation, span, vectors, linear systems of equations

tk1234

show that S and T have the same span in R^3 by showing that the vectors in S are in the span of T and vise versa.

S= {(1,0,0), (0,1,0)}
T= {(1,2,0), (2,1,0)}


im a little confused on how to start off on this problem.. help?!

Dick

Well, basically you just do what they suggested. For example, how would you show (1,2,0) is in the span of (1,0,0) and (0,1,0)?

tk1234

thats what im confused about.. how would i start it off..?

brugel

An example of how to show (1,2,0) is in the span of {(1,0,0),(0,1,0)}
a(1,0,0) + b(0,1,0) = (1,2,0) where a = 1, b = 2

this might help you also
http://www.khanacademy.org/video/lin...near%20Algebra

tk1234

okay. i get it. haha... it was actually easy.. i was just a little confuse :) thanks!!!