linear equation, span, vectors, linear systems of equationsby tk1234 Tags: linear equation, span, vectors 

#1
Sep1011, 10:55 PM

P: 5

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?! 



#2
Sep1011, 11:04 PM

Sci Advisor
HW Helper
Thanks
P: 25,175

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)?




#3
Sep1011, 11:13 PM

P: 5

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




#4
Sep1011, 11:15 PM

P: 2

linear equation, span, vectors, linear systems of equations
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 



#5
Sep1011, 11:22 PM

P: 5

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



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