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A change of perspective | Linear algebra episode 7 

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#vectors #linearalgebra #matrices
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In linear algebra, you change to a different basis by using a sandwich product. You will find this pattern in many disguises all over mathematics, so we look at a diversity of examples.
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0:00 Introduction
0:55 From word problems to algebra and back
3:06 Finding the equation for a line
4:44 A few more examples
6:23 The sandwich product in geometric algebra
9:28 Easier rotations and reflections
12:30 Forward and backward
15:20 Changing your perspective
This video is published under a CC Attribution license
( creativecommons.org/licenses/by/4.0/ )

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17 апр 2024

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Комментарии : 12   
@CognitiveOffense
@CognitiveOffense 2 месяца назад
This was great. Often, I find that discovering the person that explains things the way an individual is naturally inclined to understand them is the hardest part of learning a subject. I certainly believe the way you explain things is the way I am naturally suited to learn things. I'm very thankful for the work you put in to your videos and I know I am more edified by watching them.
@APaleDot
@APaleDot 2 месяца назад
That's a very interesting way to view the reflection formula in GA.
@hydraim9833
@hydraim9833 2 месяца назад
Love the way you explain things, thanks man!
@rylieweaver1516
@rylieweaver1516 2 месяца назад
Amazing as always
@user-tn1jb5tj7n
@user-tn1jb5tj7n 2 месяца назад
Thanks you for comprehensive videos!
@MikeT10101
@MikeT10101 2 месяца назад
Excellent video. Thank you!
@ILSCDF
@ILSCDF 2 месяца назад
Anxiously waiting for VGA
@rylieweaver1516
@rylieweaver1516 2 месяца назад
What is VGA?
@APaleDot
@APaleDot 2 месяца назад
@@rylieweaver1516 Vector Geometric Algebra (sometimes called Vanilla Geometric Algebra)
@rylieweaver1516
@rylieweaver1516 2 месяца назад
@@APaleDot Ah, thanks! Same, I watched the sudgylacmoe series on it
@xanderlinhares
@xanderlinhares 2 месяца назад
Also very stoked about this. VGA is great if it’s on the way to understanding PGA which is more useful.
@warwolt
@warwolt 2 месяца назад
I wonder what the categorical formulation of that there-back-again diagram would be, since it would be obviously commutative