What is Rational Canonical Form and How is it Used in Rings and Fields?

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Discussion Overview

The discussion revolves around the concept of Rational Canonical Form in the context of Rings and Fields, with participants seeking definitions, explanations, and examples related to the topic. The scope includes theoretical understanding and potential applications in linear algebra.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses a need for a definition and examples of Rational Canonical Form due to an upcoming exam.
  • Another participant suggests looking up the term in textbooks or online resources, indicating that it may be covered in standard references like Mathworld or Wikipedia.
  • A third participant offers a specific resource, a linear algebra primer, which includes relevant topics and is available for download.
  • A later reply appreciates the shared resource, highlighting its usefulness as a concise reference without excessive detail.
  • One participant acknowledges the challenge of engaging with the material but finds the resource succinct.

Areas of Agreement / Disagreement

Participants generally agree on the need for resources and definitions related to Rational Canonical Form, but there is no consensus on a specific explanation or example provided within the thread.

Contextual Notes

Limitations include the lack of direct explanations or examples of Rational Canonical Form within the discussion, as participants primarily reference external resources rather than providing detailed insights.

Who May Find This Useful

Students preparing for exams in linear algebra or those interested in the theoretical aspects of Rings and Fields may find this discussion and the referenced resources useful.

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Or something like that... I need definition,, explanation and examples. I have an exam in Rings and Fields on Sunday, and he used that term during the course- I have no idea what it is.
I'd appreciate any help.
Thanks in advance!
 
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Depending on the relative proximities, the first thing I would do is look for that term in my book's index, or to google the term.

Mathworld has a page for it... I bet Wikipedia does too, but I didn't see it on the first page of the search.
 
i have a 15 page linear algebra book that includes all these topics. see

http://www.math.uga.edu/~roy/

and download the linalgprimer.pdf

I alos have a 400 page book on it if you want, but it will not get there in a day or two.
 
I was WONDERING who sent me that over email! That's a wonderful little primer/refresher on linear algebra, Mathwonk! I recommend it as well - definitions, theorems, corollaries to boot without all the extra idle chit chat one normally encounters. :cool:
 
Thank You!

I think you must be very strong to read it, but then it is rather succinct.
 

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