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!!
*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
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?!!
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.
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.
