Full example: using Gram-Schmidt

[@nickyraja3793]

Hey Trefor I have been watching your linear algebra playlist for last 3 or 4 months and yesterday I gavee my linear algebra exam and guess what I scored 27 out of 30 which is a magnificent grade given that you don't score alot in my University. Thank you for all that you do, wouldn't have been possible without your lectures. What you do makes a big difference in people's life and I owe my success to the explicit videos in your course

[@souravchakraborty6766]

Simple, easy, and clear. Thank you professor! I think every professor should record and upload videos like this.

[@ashutoshaman2391]

I don't usually watch series but believe me or not, I finished this lecture series in a day. And it was so awesome. Thank you..!

[@DrTrefor]

Great to hear!

[@azadehfayli]

Thanks for your great videos, Dr. Trefor. Shouldn't you normalize the first vector?

[@c0t556]

Orthogonal but not orthonormal?

[@jonathanpedraza3788]

Very late, but Im pretty sure if you want them orthonormal you start by making the first vector normal. ie vector over magnitude. from there you continue following his process, but with your first vector now being normal. That should get you a orthonormal basis not orthogonal

[@saraism4557]

This is the sole video that explains the extracting Q from a 3 columns matrix. Thanks a bunch

[@gabrielpereiramendes3463]

#Excelent! Reviewing this topic because I have my second linear algebra exam today afternoon. Thanks a lot for the great help!

[@jingyiwang5113]

I am really grateful for this amazing video! This is really helpful for my mathematics exam coming up very very soon. Thank you so much!

[@Foomaster29]

You're awesome!! Thank you for having the enthusiasm that you do!

[@Foomaster29]

Trefor Bazett my LA prof is giving a 3rd exam two days before our comprehensive final, was stressing until I found your channel!

[@jassielove8538]

THANK YOU !!! You're a lifesaver

[@johnbingham6355]

Excellent; and presumably to check.Use the dot mutually on each pair..

[@spideybot]

Thank you, it¨s so hard to find a good explanation in either czech (my native and the language I'm studying in) and english (my second language)

[@fikadubirhane1317]

thank you for make easy and give brief explanation

[@ylvaeriksson5761]

Thank you very much!

[@brendonhongpong8459]

thanks you so much

[@MariaFernanda-oz6uf]

you are the best :” thank you so much

[@theonlyanoneradipta3133]

Nice explanation sir

[@amishagawade2056]

Sir , when an orthonormal set are given then how to extend an orthonormal basis of ℝ3 (i.e. u1 and u2 are given then how to find v1,v2,v3).

[@APaleDot]

Take the cross product of u1 and u2 to get u3. It is guaranteed to be orthogonal to u1 and u2.

[@SS-pl7ci]

For V3, should there be a bracket between the vectors that make up the [projections of V3]? Ie. should 5:26 be: (5, 2, 0) - [(1,2-2) + (0,1,1)])? since we're subtracting [projection of V3] from X3? (if not why not?)

[@richardappiah-kubi3007]

why did you not find the unit vector of v1

[@richardappiah-kubi3007]

@@DrTrefor Thanks very much

[@chichagg]

tysm

[@cutestbear3327]

sweeet~

[@김민서-d7t8v]

이거다...

[@ShocBox]

you click your tongue too much buddy very gross

[@mightyduckyo]

Don't think this is a concrete example, concrete implies physical - something that can be touched