Algebra 42 - Visualizing Linear Equations in Three Variables

Just as the graph of a linear equation in two variables is a line in the Cartesian plane, the graph of a linear equation in three variables is a plane in Cartesian space.

[dogwithwigwamz.]

I can`t afford to attend University, so am trying to teach myself a degree in maths - or at least to be able to read degree level maths. The available textbooks, even for year 1, are extremely difficult and tedious for me. With videos such as these the fog begins, slowly, to lift.

[mysticalgamer]

I can't believe I finally understand planes. Thank you very much for the visuals! You're truly a life saver

[TinyMaths]

These are the basics I've been looking for but missed somewhere along the line, this visualization helps not only with math, but also explains some simple ideas I have encountered with 3d modeling. Didn't imagine Linear Algebra could be so closely related to 3D, silly really, but I'm here because the examples used in a lecture to explain 3 variables in 3 dimensional space left me totally confused. EDIT: I had to add that this is exactly what I needed to start getting a handle on this. Really looking forward to chewing over this and then moving on to your other videos, thanks again.

[artingh]

I was desperately looking for a good explanation and finally found it, Thank you

[japhatkorowa]

Sir you took away my burden to understand plane in 3d. Sir your efforts in creating such visualizing mathematical video is marvelous I recommend if you could do visualizing videos for math topics seems complicated to understand, this is because I realized that understanding visually is more beneficial than memorizing math formula.

[loden]

This really helped me understand the required form for a 2D plane jn 3D!!! Thank you!

[Groundsquirrel]

Great content and AWESOME graphics!!!!

[Mr.nobody]

This is the best video I have seen so far explaining Linear algebra visually
Thanks a lot sir!!!

[carolinavendano]

Incredibly useful and clear. Thank you for providing this great resource.

[yuxuanmiyo]

Thanks so much for this video. You explained everything so simply and clearly!

[proskillz]

Thank you so much.... Now I know I actually understood nothing in my lecture. This really helped. Its hard to understand planes without a proper visual representation.

[Balakrishnan]

Awesome! hope this team produces whole range of Math videos in future, I'm ready to buy even if it has a cost.

[nurulfadillah]

this is so helpful and also very entertaining to watch, thanks for making this vid!!

[marrytesfu]

this couldn't be any more clear...mind blowing

[jeremystott]

A perfect visualization. Just what I was looking for!

[bivashchakraborty]

Thank you so much. Much love from India

[gwggcpu]

Great as always, keep up the good work 👍

[pianoboss]

Amazing and very easy to understand video!

[raitup]

Thanks for placing those images in my mind!

[manahil]

This channel deserves million of subscribers!❤️🇵🇰