*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
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!!
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.
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?!!
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?
+MegaMementoMori The cardinality of the set of points contained in a line is the same as the cardinality of the set of points contained in a plane, or for that matter, any finite-dimensional space. This is sometimes called the cardinality of the continuum. Aleph-zero is the cardinality of any countably infinite set such as the set of integers.
A great visually intuitive explanation of the subject. More comprehensive that what I have seen in Algebra texts.
Awesome!I have never seen spectacular video series like that!!!
Plz make more videos on advance math concepts!!!
Lovely video. Incredibly fascinating. I love it.
This cleared my concept of 3D
omg your videos give me such a great intuition and interest about the subject, thank you so much!
Excellent vedio classes
Thanks very much
geometrically speaking, is there any difference between 3 matching planes and a single plane?
Just awesome!
Great video. Thank you!
*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
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!!
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.
On October 1, 2015 this chapter was removed and re-uploaded to correct an error. All views were reset to zero.
amazingly helpful
Great Great explanation
Thank you, very clearly explained
amazing content. thank you
Good explanation.
Thanks for saving my life :D
Amazing!!!
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?!!
This is great, thank you!!!
Nice one
ammazing Thanks alot form Pakistan
Can the point of intersection be looked upon as the instantaneous center of zero velocity of the system?
hello, can you include how this is interpreted using REF?
Thanks prof
Incredible
This is so good. Thank you.
The boys approve
this is brilliant make alot more sense than a uni text.
i love you. thank you
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?
+MegaMementoMori The cardinality of the set of points contained in a line is the same as the cardinality of the set of points contained in a plane, or for that matter, any finite-dimensional space. This is sometimes called the cardinality of the continuum. Aleph-zero is the cardinality of any countably infinite set such as the set of integers.
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