Understanding Matrix Ranks and Null Space: A Comprehensive Guide

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Discussion Overview

The discussion revolves around understanding matrix rank and null space, with participants seeking resources and explanations related to these concepts in linear algebra. The scope includes foundational topics in linear algebra and the application of these concepts to vector spaces and linear transformations.

Discussion Character

  • Homework-related, Conceptual clarification, Meta-discussion

Main Points Raised

  • One participant expresses a need for help with matrix rank and null space, indicating familiarity with basic matrix concepts but lacking knowledge in these specific areas.
  • Another participant suggests that the inquiry is more about linear transformations and vector spaces rather than just matrices, recommending searches on those topics.
  • A third participant requests links to resources, indicating difficulty in finding quality information online.
  • A later reply provides specific links to resources on vector spaces and null spaces, although the contributor expresses uncertainty about their quality.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best resources, and there is a lack of agreement on the clarity of the links provided. The discussion remains unresolved regarding the adequacy of the resources for understanding the topics.

Contextual Notes

Limitations include the participants' varying levels of familiarity with linear algebra concepts and the subjective assessment of the quality of resources found online.

rdajunior95
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Hi guys,

I basically need help with matrices, I know all the basics about them like inverse, determinants, eigenvalues and eigenvectors and all but I need help in some topics like matrix rank, null space and all.

I haven't read about them in any book so if you guys can post me links of some websites which explain these topics in detail please help me! :)
 
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Then you are not really asking about "matrices", you are asking about "linear transformations" on vector spaces.

Google on "linear transformations", "vector spaces" or, more specifically, "null space", or, more generally, "linear algebra".
 
Can someone please provide me with a link cause I searched before on google and could not find anything good!

So please help me :)
 
Well, I googled on "vector space" "null space" and immediately got
http://online.redwoods.cc.ca.us/instruct/darnold/linalg/dim/dim.pdf
and
http://en.wikibooks.org/wiki/Linear_Algebra/Null_Spaces

They look good to me but I have no idea whether you would consider them "anything good".
 
Last edited by a moderator:
thanks for the links!
 

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