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Linear equation, span, vectors, linear systems of equations

by tk1234
Tags: linear equation, span, vectors
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tk1234
#1
Sep10-11, 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?!
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Dick
#2
Sep10-11, 11:04 PM
Sci Advisor
HW Helper
Thanks
P: 25,228
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
#3
Sep10-11, 11:13 PM
P: 5
thats what im confused about.. how would i start it off..?

brugel
#4
Sep10-11, 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
tk1234
#5
Sep10-11, 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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