Coordinates with respect to orthonormal bases | Linear Algebra | Khan Academy

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Seeing that orthonormal bases make for good coordinate systems
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[@HadasMM]

Brilliant! I was extremely lost, but now I understand everything

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The Nobel prize to Khan Academy please!

[@k.p7873]

Helped me in tensors...

[@TheGaIaxy]

Again...thank you thank you thank you thank you!!!!

[@debendragurung3033]

5:44

[@klevisimeri607]

❤

[@demetriusdemarcusbartholom8063]

ECE 485 UofA

[@sanjaykrish8719]

Love you Sal..

[@mkb2420]

mistake at 15:00 forgot to cancel minus on 8/5

[@SpaceJesus25]

george peschke was here

[@Jeff-wc5ho]

ily

[@Doodle92]

veesabai

[@JirayuSirivorawong]

I believe there is a mistake at 12:17. It has to be multiplied by (change of basis matrix)^-1 instead.

[@thomsondcruz]

it is correct. The property of orthonormal basis is that (change of basis matrix)^Transponse is equal to (change of basis matrix)^Inverse. If you carefully observe, he multiplies the (change of basis matrix)^Transponse with X to get Xb

[@aborucu]

Salman Khan is King!