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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,608

New page: Systems of Linear Equations

It turned out really long, but that seems inevitable. Waddya think?

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,691

Wonderful! If they would only introduce the subject in this manner. They did not in my time. Judging from the fact that so many students do not understand anything about simultaneous equations...

The three diagrams "Inconsistent", "Independent", "Dependent" are the fundamental geometric interpretation by which half of Numerical Analysis can be understood. Because these concepts are usually introduced through determinants the concept of ill conditioned cannot be understood correctly.

Didn't even bother to look for errors. Loved the page.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,608

Wow. Thanks

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**ccmint****Member**- Registered: 2009-10-11
- Posts: 22

Awesome page, really great stuff!

I just noticed a few things:

Small typo for "iseems":

In this case it **iseems** easiest to set them equal to each other:

And the solve by substitution method for 3x3 under the section **"Now replace "z" with "3 - y" in the other equation:"** the 3-y is not aligned correctly. 3-y is not on one line but the y goes underneath.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,608

Thanks ccmint, that helps.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**123ronnie321****Member**- Registered: 2010-09-28
- Posts: 128

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**DavidB****Member**- Registered: 2006-09-08
- Posts: 13

MathsIsFun wrote:

New page: Systems of Linear Equations

It turned out really long, but that seems inevitable. Waddya think?

I think it is very good. Thorough and explained in an easy-to-understand manner.

Although I did wonder why most of the page was typed and *some* was handwritten. To be consistent, I think it should have been all typed.

Other than that, I think it is a job well-done.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,608

Thanks David,

The handwritten parts were to illustrate how the user could do it.

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