[Linear Algebra] Cofactor Expansion

I teach how to use cofactor expansion to find the determinant of matrices. I also teach that the determinants of a triangular matrix are the product of diagonal entries.
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Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

[@emmanuellimaco2160]

Thank you for the vid, very informative, although at 4:53 -20 + 22 equals positive 2, not negative.

[@mai-zx7my]

I was bout to write the same thing.

[@edwardpanzi4196]

@@mai-zx7my same here

[@MrThiccster]

lmao yeah

[@kut240]

i was like how does that work but after seeing these comments ive come to realise that its just a simple mistake

[@destinycampbell2863]

Yes!!!! I immediately came to the comments to see if it was just me. It is a mistake though. haha. Still thank him for the video!

[@SoniaAnastasiaaa]

4:47 ......... positive 2 ???

[@lordtouchmesama8479]

Thank you for the video. Extremely helpful for this test tomorrow.

[@hasancanar3125]

+2 at min.5

[@sandramukuka]

I noticed that too at 4:55 i think it should be positive 2... -20+22 = 2

[@yayo685]

OMG this confused me so bad, thanks for clarification!

[@ahmaddynugroho]

agree

[@zacharygammo7269]

Thank you so much, have a linear algebra exam in a week and this video just helped me so much

[@maryjanechang414]

Your voice is so soothing!

[@neonkuna7702]

Okay. The examples kinda helps. I was confused by those formulas. As to. What exactly are we trying to achieve here. Also,there are so many ways,even simpler ways of getting the determinant I don't understand why this way is particularly important

[@MachoMandem]

Well explained and straight to the point. Commendable work indeed.

[@enashameed471]

Thanks جزاك الله خيرا ❤

[@jbluch]

Thank you for the help!

[@moviebeu]

Thanks man , good video.

[@gg-pv3ie]

omg dude this answered so many of my questions thank you so much!!!

[@gg-pv3ie]

also im doing discrete math 1 next semester so im very happy you have a whole playlist for that!

[@EpicbubbleNITE]

@@gg-pv3ie how was the class? :P

[@gohhongyi4001]

shouldnt it be cofactor of ith row and cofactor of ith column? instead of column and row... since a(ij) refers to ith row and jth column

[@tadashimatsumoto8253]

Yes you’re right

[@ahmedhussein660]

Thank you man!

[@blakef.8566]

My tuition money should be going to you instead of my professors

[@Trevtutor]

I wish.

[@mariahslittlelamb8049]

@@Trevtutor Love you

[@Dillan0.0]

Very well explained, thanks.

[@omegapolar1355]

Amazing video! Thank you!

[@fa911662]

Thank you very much for your help !!

[@MaxGuides]

Does multiplying the product of the diagonals work for an upper triangular matrix as well? (doing homework right now)

[@JasimGamer]

hey you
this is reminder
3 years ago 😃

[@MaxGuides]

@@JasimGamer hey, I know now ++got a computer science and a math degree since I made this comment

[@JasimGamer]

@@MaxGuides
ohh
congrats 🎉🥳
⊂_ヽ
＼＼
＼( ͡° ͜ʖ ͡°)
> ⌒ヽ
/ へ＼
/ / ＼＼
ﾚ ノ ヽ_つ
/ /
/ /|
( (ヽ
| |、＼
| 丿 ＼ ⌒)
| | ) /
ノ ) Lﾉ
(_／

[@almatnarmatov]

@@MaxGuides congrats

[@scottmcentee3035]

What's the difference between cofactor expansion and the method used in the previous video? They look exactly the same

[@commenting000]

You can pick any row to use as the constant multipliers

[@olivareszaragozadiegoisrae5685]

Greta vídeo, thanks!!

[@neonkuna7702]

I'm. So confused. I don't understand what introducing the "c" term does.
I was looking for an introduction to this cofactor expansion and damn

[@juniorjay001]

How is -20+22 = to -2?

[@Atomsized]

science

[@nervouslookingman5954]

@@Atomsized lol

[@ghaitm32]

I hate youtube so much , why do i have to go to the 5th page of results to get to the best exlanation about the whole thing !
may Allah bless you

[@Vision26603]

Its positive 2 for the first one

[@alhaithamaljabri2203]

Thank you Sir, I really appreciate it!

[@bassingpeter4694]

Pls this tutorial is really helping,but at last portion where you had -20+22=-2, I don't understand why it so.pls help me with that

[@neonkuna7702]

We need to know why determinants are particularly important. Besides properties of determinants. We need to know why we should even care about this stuff

[@tlnv_b]

what is it i+j ?

[@A-R53]

Sweeeet, thanks

[@averycasto]

The words column and row need to be switched at 2:24

[@eugenengesa5488]

You don't use the +-+ cause i was told its
-+-
+-+. Necessary

[@eugenengesa5488]

Nevermind it the same as a precalculated (-1)^i+j

[@programmer4047]

But, what is a cofactor?

[@EJJTheMiner]

ascher gang
ascher gang

[@SuperOtter]

ah yes 22-20=-2 🤦‍♂

[@michaelcarl8180]

says the one on youtube looking for help...

[@arturgharibkhanyan8196]

this guy is high or something lol 2 videos in a row he has a mistake