Math Is Fun Forum

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Systems of Linear Equations

New page: Systems of Linear Equations

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

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Systems of Linear Equations

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.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Systems of Linear Equations

Wow. Thanks

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

ccmint

Member

Registered: 2009-10-11

Posts: 22

Re: Systems of Linear Equations

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.

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Systems of Linear Equations

Thanks ccmint, that helps.

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

123ronnie321

Member

Registered: 2010-09-28

Posts: 128

Re: Systems of Linear Equations

DavidB

Member

Registered: 2006-09-08

Posts: 13

Re: Systems of Linear Equations

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.

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Systems of Linear Equations

Thanks David,

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

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