Rotation matrices | Lecture 8 | Matrix Algebra for Engineers

Example of the rotation matrix as an orthogonal matrix.
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[@ProfJeffreyChasnov]

Find other Matrix Algebra videos in my playlist ua-cam.com/play/PLkZjai-2Jcxlg-Z1roB0pUwFU-P58tvOx.html

[@jflopezfernandez]

Awesome explanation, thank you so much

[@mustafizurrahman5699]

Mesmerizing elucidation

[@alanmenescal9871]

Simple and direct to the point thank you

[@riccardodaguanno8237]

what an amazing lesson, thank you so much!

[@rutika17]

All your videos are really helpful.
Thanks

[@yinglll7411]

absolutely brilliant! Thanks a lot

[@Danio-nz9xf]

Thanks for the clear explanation.

[@nirajgujarathi6796]

nice explanation! thank you professor

[@laurin__]

Jeff Chasnov is so smart, yet so humble; i love him

[@arkadipbasu828]

Thanks you for wonderful explanation

[@ashwithchandra2622]

Thank you so much ❤

[@inescarvalho18182]

Amazing, thanks !

[@collegeboy8671]

Thanks sir for sharing!

[@ZhangQianyi]

我就需要这样把我当成傻瓜一样的教程，太感谢了，讲解的很清楚！

[@jcbrahman123]

Really helpful 😊

[@felikiderria833]

Fantastic ...

[@tershennaidoo1225]

Thank you

[@SM16Basketball]

thank you

[@fnegnilr10]

Nice explanation

[@peterchen969]

very nice. thank you

[@tomctutor]

You didn't mention the determinant (=+1) so the length(norm) of vector remains unchanged, an important requirement for a rotation matrix. Obvious but still, simple test for to see if some matrix in R^n could be a rotation matrix.

[@user-uw6bh1ik4p]

Great video... I keep getting distracted with wondering if he has to write backwards to make the text look correct to us?

[@masonholcombe3327]

Another way of thinking about this is this is a rotation through the Z axis. And the 3D rotation matrix for the Z axis is the same in what he found for R_theta!

[@masonholcombe3327]

(Cutting off the 3rd row and 3rd column of course)

[@shagullreader6528]

Thanks Prof, but I don't understand how u find x' and y'?

[@b2s652]

out of curiosity, is the video flipped?

[@ProfJeffreyChasnov]

Yes

[@anushreegairola2291]

Not getting it

[@anushreegairola2291]

Pls help

[@dactorwatson4313]

is this guy writing backwards

[@dactorwatson4313]

nvm I figured it out he just flips it in post

[@ProfJeffreyChasnov]

ua-cam.com/video/WB_CakqElQ0/v-deo.html

[@motriz-industrial6846]

Very well explained!! Thank you!!
Can you make a video on how to solve the problem in the link?
drive.google.com/drive/folders/1-lMO0o1tc93eHl5utegtg9jDnKvvIvii?usp=sharing