Linear equation, span, vectors, linear systems of equations

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Homework Help Overview

The discussion revolves around demonstrating that two sets of vectors, S and T, have the same span in R^3. The original poster expresses confusion about how to begin the problem, which involves showing that the vectors in S are in the span of T and vice versa.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss how to show that a vector from set T is in the span of set S. There is a focus on expressing one vector as a linear combination of others.

Discussion Status

The conversation includes attempts to clarify the initial steps needed to approach the problem. Some participants provide examples and resources to aid understanding, while others express their confusion about starting the process.

Contextual Notes

The original poster mentions feeling confused, indicating a potential gap in understanding the concepts of span and linear combinations. There is also a reference to an external resource for further clarification.

tk1234
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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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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)?
 
thats what I am confused about.. how would i start it off..?
 
okay. i get it. haha... it was actually easy.. i was just a little confuse :) thanks!
 

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