Algebra 43 - Types of Linear Systems in Three Variables

This video illustrates eight ways in which planes in the graph of a system of three linear equations in three variables can be oriented, thus creating different types of solution sets.

[kenjipreston]

A great visually intuitive explanation of the subject. More comprehensive that what I have seen in Algebra texts.

[AbuSayed-ervs]

Awesome!I have never seen spectacular video series like that!!!
Plz make more videos on advance math concepts!!!

[MyWhyU]

On October 1, 2015 this chapter was removed and re-uploaded to correct an error. All views were reset to zero.

[LoranDavis]

Lovely video. Incredibly fascinating. I love it.

[oscarortiz]

Very neat and perfectly animated!! Thanks a million. I am a high school teacher and would love to learn how to design this kind of videos. Could you guide me as to how to start my learning process? Thanks in advanced!!

[muchachonechvile]

omg your videos give me such a great intuition and interest about the subject, thank you so much!

[BmCC]

this is brilliant make alot more sense than a uni text.

[VitoriaIsabelLemosdeMattos]

geometrically speaking, is there any difference between 3 matching planes and a single plane?

[AJ-fohp]

0:58 An point which simultaneously falls on all three planes corresponds to a solution which simultaneously satisfies all three equations.
Hence simultaneous equation.
It is linear means its represent one straight line.

[detectzero]

*Me after solving linear equation in two variable

Meh ! This is easy

* Me after seeing linear equation in three variable

And I've decided that I want to die

[joeberland]

I've been trying to find out (unsuccessfuly!) how many cases of four equations four unknowns there are, and what is the associated arrangement of R4 hyperplanes for each case. Can you help?!!

[maheshkumars]

Excellent vedio classes
Thanks very much

[justanotherguy]

Can the point of intersection be looked upon as the instantaneous center of zero velocity of the system?

[MegaMementoMori]

You say that if two planes intersect in a line and if they are the same plane, then they have an infinite number of solutions. But are these infinities equal? Or would they represent Aleph-zero and Aleph-one respectively?

[clairechua]

hello, can you include how this is interpreted using REF?