Elementary Matrices

Learning Objectives:
1) For any elementary row operation, write down it's corresponding elementary matrix
2) Recognize that multiplying a matrix by an elementary matrix is the same thing as doing the corresponding ERO on that matrix.

This video is part of a Linear Algebra course taught at the University of Cincinnati.

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[naiko]

Very cool!
In my case it also helped to visualize the elementary matrix applied to a single vector at first;
and then remembering that the composition of 2 matrices is the first matrix applied to each vector (column) of the second matrix
So if a matrix multiplies by K the first term of a vector, it will multiply by K all the terms in the first row of a matrix.
And if a matrix sums the first term to the second term of a vector, then it will sum the first term in every column to the second term in that same column, for every column :)

[jobelrahman]

Thanks a lot for such a simple explanation! Much appreciated.

[durelhervane]

Awesome i was reading from a book then i got stuck your video delivered me

[thunderwolfcz]

Finally connected the intuition, thank you sir!

[kelvinthehuman]

Amazing job, Mr. Bazett. I wonder which device (electronic pencil, whiteboard etc.) you use to deliver these lessons.

[ayushmelty]

thank you so much, sir, your way of explaining is just amazing

[chantise]

Your video helped major! Thank you so much and s/o to the classmate for sending it my way.

[senurakalubovila]

thanks a lot man It's really simple the way you explained it.

[youssefdirani]

I think this is going to be the proof of how to find the inverse of a matrix

[fiverabbits]

Thank you so much! Your explanation is just what I needed to understand :)

[sudarshann]

That trick is kinda like math magic ✨✨ love it❤️

[Rowing-lijt]

Super helpful!!
Thank you for your contribution!