Write a Matrix as a Product of Elementary Matrices

This video explains how to write a matrix as a product of elementary matrices.

[instaminox]

best video on Internet for elementary matrices thanks a lot!

[TheGoodBoi]

You are so much better at explaining this than my professor.

[heckler]

Just what I needed, thanks.
I can't believe I've had so many problems with these types of questions, yet you explained it perfectly.
Now it makes sense.

[polishhammer]

No one could explain this on youtube. Thank you so much!

[drok]

Brother, you saved me 25 minutes before the exam. Thank you

[madonna]

this video saved the entire chapter for me wowowow

[aaronchao]

Yes, that's exactly what I am currently learning in my Linear Algebra class in my freshman college year 🙂

[miguelgarza]

Just to confirm, the order of the row operation does not matter, correct? As long as we rref to the identity matrix?

That would change the elementary matrices used, does that mean there are different matrices (and combinations) that could be used to construct a matrix?

[Itsjovannytovar]

Thank you. I missed a 4x4 product problem where they ask for three different row operations that transforms A into the identity matrix one of my tests. My final is in 2 days so I’m glad i understand this concept now! :-)

[chafflube]

I understand that in regards to ordinary cross products of matrices, that the order does matter. However, I have entered the inverse matrices into MATLAB and found that whether I multiply them starting from 1 and moving to 4 or vice versa, I get EXACTLY the same result. Could this be an error in MATLAB or is it possible that the cross multiplication of elementary matrices is in fact commutative? Please excuse the ignorance of this question. Thank you for taking the time to read it, too. :)

[JohnSmith-zflq]

Fantastically clear video. Much appreciated!

[sudhanshujha]

Very nice explanation,
I have a doubt you said in the definition that A has order n×n BUT it can also be n×p also

[navneetsingh]

why did u introduced new identity matrix after E2 why didnt you continue in that previous one 4:36

[jacksonwhitfield]

Just saved my life for upcoming exam.. missed this lecture

[hamzacoskun]

12 years old... but still my professor attaches this video to recommended sources for the exam.

[zonneP]

thank you. never got taught this by professor

[ameliasaidwhat]

This is not working for me. after I multiply the inverses I dont get A???

[chunkylover]

super helpful thank you. I forgot how to do the last step with the inverse and this answered it.

[NetaliAgrawal]

Thanks a lot. It helped me in understanding the concept lot better.

[khabdullah]

You made it very easy...thank u sir...❤️❤️