Linear Algebra 22a: Introduction to Orthoscaling (aka Symmetric) Transformations

[umutkarakus]

I thought I knew linear algebra very well from my courses at university,
but you have given me a whole new geometric perspective.
I love the way you motivate these concepts. Your criticism of the nomenclature ‘orthogonal matrix’, ‘symmetric matrix’ is original and illuminating.
Thank you for taking the time to make these videos.

[joshuaronisjr]

Thanks to you, 3Blue1Brown, and Strang, Linear Algebra has become one of the most beautiful topics I've ever studied. Thank you!

[bottydimanov]

Hahaha, I have to say you are brilliant :D Nobody has inspired me more about curvature than your propulsion of chalk! I have been hooked. Well Done :)

[debendragurung]

the only way i view of Matrix being orthogonal is, the three orthogonal vectors after transformation still holds their orthogonaility, until just learned that symmetric does that too.

[johnnybatafljeska]

Hello, do you cover gram schmidt ortogonalisation? Btw love your channel!

[joshuaronisjr]

I don't know if you have time, but if you do, I would really, really appreciate an answer from you to this question I posted on Reddit: I feel like I'm close to understanding it geometrically, but I'm still confused. Most answers are using too much terminology - I'm still having trouble with symmetric transformations intuitively (the whole circle to ellipse thing of linear transformations is confusing me actually). Here, I'll post it below:





Thank you!