Why Cramer Rule Works

[@FranciscoTornay]

Beautiful proof! The combination of this video and 3blue1brown's geometrical explanation of Cramer's rule kzbin.info/www/bejne/oHPWdGZqhd2tpa8 illuminates this topic, which often comes across as mysterious and confusing

[@drpeyam]

I was hoping someone would mention that video!

[@FranciscoTornay]

@@drpeyam It's great how your algebraic explanation fits so well with 3b1b's geometric intuition, piece by piece really. Keep up the great work and the awesome sense of humor, Dr. P. Yours has become one of my favorite YT channels

[@luukbrouwer4383]

thanks for being so excited for us!

[@nicepajuju3900]

Thanks Payem!!!!! i'm in high school and i was just wondering how it worked, i watched several other video but they were very advanced for me, your one is just simply beautiful!! All those examples really helped!! I think i understand now Thank You very much!!!!

[@qubix27]

If Lu was a family, what would be the relations between Kurama and Chen?

[@frozenmoon998]

Kurama! Now that is some nostalgic element right there to an amazing show. The video is also great :)

[@quinnculver]

A very nice proof indeed.

[@shiro2738]

Didn't know that the kyuubi had a personal rule for matrix calculus.

[@thedoublehelix5661]

I remember when I used to watch Naruto. Ah the good old days

[@shiro2738]

@@thedoublehelix5661 ah yes, my childhood

[@manyirons]

In high school I used to use this all the time to find the equation of a circle given three points on the circle. The programmable calculator made quick work of the determinants.

[@j9dz2sf]

Supposes that we know that the product of determinants is the determinant of the product. How to prove it?

[@drpeyam]

There’s a video about that, it’s in one of the Determinants playlists

[@carlosvargas2907]

Indeed, really nice

[@sunildua2724]

I too like determinants ..

[@MathIguess]

I read your shirt as "I love Shadow Fiend". Maybe I've been playing too much Dota 2.

[@ivanlazaro7444]

I do not understand the property about the producto of A and the columns of Xk

[@drpeyam]

Definition of matrix multiplication

[@mathematicsfanatic832]

Use the "KARMA RULE"

[@raincold5426]

KARMA BLU

[@dougr.2398]

Karma Lu!!! --great minds run in the same RUTS!!! (Lol..... typo occured “tuts” corrected!)

[@ChinaLostBeats]

so nice!

[@sugarfrosted2005]

Would you ever consider Dodgeson condensation? Yes, Lewis C Carroll

[@Myrslokstok]

I passed linear algebra I must have missed this one 😬

[@neilgerace355]

0:14 Don't try this at home!

[@oliverletterer3854]

💣

[@raincold5426]

Holy fuck

[@shambosaha9727]

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