| by Kenneth Chase | 37 comments

Properties of Determinants | MIT 18.06SC Linear Algebra, Fall 2011



Jan 1, 2012, 5:41 pm Reply

Ah, I loved these things.


Jan 1, 2012, 8:49 pm Reply

ahh, sweet memories!


Jan 1, 2012, 10:05 pm Reply

Thank you. Very helpful.

Zoroo King

Jan 1, 2012, 11:46 pm Reply

Great thanks from pharaoh

Tem Kuskov

Jan 1, 2012, 1:47 am Reply

why didn't they have these videos when I took Linear Algebra?! Its so unfair!


Jan 1, 2012, 2:26 am Reply

por favor coloquen los subtitulos en formato "Archivo de subtítulos" (incluye códigos de tiempo)
en lugar de "transcripción de audio", esto para que mejore la calidad y la precisión de las traducciones

Luca Rubini

Jan 1, 2012, 5:46 pm Reply

but in the determinant of B you have to suppose that b-a and c-a are not equal to 0.


Jan 1, 2012, 9:00 pm Reply

i like math in general, i dont know it seems so intuitive and fun, even thou it sounds weird. i studied most of my math courses online prop to this.

A.M. Goudarzi

Jan 1, 2012, 11:53 am Reply

hey "Ana Rita Pires"!
you're a good teacher, there's an inner teacher in you, gooooooood luck 🙂

Chris Chan

Mar 3, 2012, 7:39 am Reply

I'm having alot of trouble with Van der mon determinants…. i'm confused with wheather to take first column/row……. Please help..!!


Sep 9, 2012, 5:31 am Reply

yes, from Lisbon!

Nada El-Zoghby

Dec 12, 2012, 8:12 pm Reply

Very Helpful, Thank you.


Mar 3, 2013, 9:16 pm Reply

Maybe some maths rules doesn't make any sense on my mind, therefore I am not able to understand what's going on in the matrices. I got very annoying about my brain.


May 5, 2013, 3:23 am Reply

Why don't you come and work on this D.


Oct 10, 2013, 11:15 am Reply


Saranya Nayak

Jul 7, 2014, 5:42 am Reply

thank you

Leyla Solmaz

Jan 1, 2015, 3:20 am Reply

amazing explanation!


Mar 3, 2015, 1:10 pm Reply

Really great lecture, thanks. 😀

James Smith

Jun 6, 2015, 4:35 pm Reply

Thanks this really helped me,  your teaching is great

Yusef Skaff

Jul 7, 2015, 5:04 pm Reply

ur awesome !

Andrea Gjoka

Mar 3, 2016, 10:53 am Reply

for the det B why did we use linearity in 1 step?,since linearity has to do with each row separately,right?

Libi Gjon

Oct 10, 2016, 4:46 pm Reply


Bhani Mir

Feb 2, 2017, 6:12 am Reply

Why do not open Matrix (B) directly? or without any row/column operation

Ashutosh Choudhary

Feb 2, 2017, 9:17 am Reply

?? I never expected from MIT that they teach wrong.. In first question, you can't subtract 3rd row from 2nd row because 2nd is changing.. Never expected from mit.. Is this the knowledge MIT teacher have..??? Loosers. ??

Kar Kil

Jun 6, 2017, 6:57 pm Reply


Zhi Shu

Aug 8, 2017, 4:12 am Reply

Ana is a great TA.

nowitzki lam

Sep 9, 2017, 6:44 am Reply

I love her, best TA in this course.

mqhele mguni

Oct 10, 2017, 6:16 pm Reply

helpful .

Black Eggle

Dec 12, 2017, 7:26 am Reply

that is more important

Caridorc Tergilti

Feb 2, 2018, 5:01 pm Reply

I have never seen the notation with which matrix C is expressed (that kind of "product") could anyone explain please?

Brayan Cabra

Mar 3, 2018, 6:42 pm Reply

Excellent video. Please, help me with this linear algebra question: "Given A and B two square matrices of order n, such that det(A+X)=det(B+X) for all matrix X of order n. Show that A=B." Thank you.

Lucas M

Mar 3, 2018, 2:52 am Reply

I’ll be honest. This was a very good overview. Good presentation

Nanako Kuroi

Sep 9, 2018, 12:31 pm Reply

She's so sweet! And knowledgeable as well )

Arpan Gupta

Dec 12, 2018, 11:49 am Reply

problem B was easy enough.
why to apply all those operations

Eric Baptista

Feb 2, 2019, 4:55 am Reply

Obrigado Prof!


Aug 8, 2019, 9:17 am Reply

2:08 わん、わん、わん、 イヌみたいで可愛い。


Oct 10, 2019, 6:10 am Reply

In last question If i reorder the 1,2,3 cloumns as 2,3,1 then the determinant is -24 can someone help me here. What did i do wrong

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