Change of coordinates

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In this video, I show that if you have two coordinate systems, it's actually very easy to go from one to the other (and back), just use a change of coordinates matrix! More specifically, I derive the formula for the change of coordinates matrix and give you a nice example. This is a handy tool with lots of applications, and in future videos, I'll explore some of its applications.

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NICE THUMBNAIL!!!
I am at Nissan dealer.. trying to get my AC fixed... I have been in a sauna for two days....

blackpenredpen

As a future physicist this will be used nonstop so thank you so so much

gvantsasakaruli

Change of coordinates extensively used in dynamics as far as I know. Thanks for your video.

SKARTHIKSELVAN

Dr. Peyam, you are one of the most helpful youtube channels for linear algebra

joonpark

Hey P-dawg:

DING DING DING 😂😂😂

youurdream

Very useful to Remember some core concepts like this👍

davide

Hello Dr Peyam ! Could you do an introduction about the Quotient Space ?

SloomFusion

thanks a lot Dr Peyam. You saved my linear algebra credit

thanhquinguyen

I think my prof called this "change of basis matrix".
But loved your videos so much, just as usual.
Btw, can you do some more out of the world linear algebra stuff? (Kinda like that half dimension video)

HDQuote

Does it work for infinite dimensions ?🤔

jellyfrancis

Hello!! Amazing video 😍
I want to ask something. Can I use this method to go from Cartesian to spherical coordinates in R3? The old basis should be (100) (010) (001) but I can't think how the new basis is like

panagiotisk

is barcode functionality knowledge a prerequisite what am I missing

billgrant

Ok. Matrix Q is a transform function. Beta is the input and gamma is the output .

ekueh

I've watched your video on sqrt(A).

So I squared a matrix just to try finding the square root of it.

Let B =
[[1, 2],
[3, 4]]

And B² = A

=> sqrt(A) = B

How to find the square root of A =
[[7, 10],
[15, 22]]
?

I've tried doing it but the eigenvalues are irrational.

gordonchan

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