If a 3 x 4 matrix can have independent columns?

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Discussion Overview

The discussion revolves around the question of whether a 3 x 4 matrix can have independent columns and independent rows, exploring the concepts of linear independence in the context of matrix dimensions.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asks if a 3 x 4 matrix can have independent columns and independent rows.
  • Another participant requests clarification on the definition of linear independence, suggesting that more specificity is needed.
  • A third participant claims to have figured out the answer, indicating a potential resolution but without elaborating on the details.

Areas of Agreement / Disagreement

The discussion remains unresolved, with no consensus reached on the original question regarding the independence of columns and rows in a 3 x 4 matrix.

Spyder89
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Hi, can anyone explain to me if a 3 x 4 matrix can have independent columns? How about independent rows?

Thanks!
 
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What is the definition of linear independence?
You need to be more specific
 


Hey I think I figured out the answer, thanks for replying though.
 


No problem, cheers.
 

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