Linear Algebra 11j: The Associative Property (a.k.a. Associativity) of Matrix Multiplication

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[@MathTheBeautiful]

Go to LEM.MA/LA for videos, exercises, and to ask us questions directly.

[@Andyg2g]

Hello Mr. Grinfeld, my name is Andrew and I am currently a sophomore mathematics student studying at the University of Utah. This semester has been difficult to say the least and I cannot express how thankful I am for your videos. I have always loved mathematics and after taking on a bit more than I was prepared for this semester, I was finding my love for the subject to be increasingly difficult to maintain. Your video series have been exceptionally thorough and I sincerely appreciate you taking the time to deeply cover areas of the subject often minimally explained in class. I noticed in this video that you mentioned a series of proof videos you have posted, however, I am not sure where those videos exist. If you could please provide me some direction I would love to take a look at them. Thanks again and best wishes. :)

[@MathTheBeautiful]

I'm glad you find this series helpful.
Here are the proof videos: czcams.com/video/2FiOpSBWzy0/video.html
There are only a handful now. If there is a particular proof that you would like to see then let me know and I'll see if I can put it on the list.

[@Andyg2g]

If possible, it would be immensely helpful to see an instructional video and/or proof regarding any of the following: fan bases, real and hermitian operators, Jordan Normal (Canonical) Form, and cyclic subspaces. I don't expect you to necessarily cover all of these but anything would be appreciated.

[@mirkodobrota4861]

for ordinari n=: (ab)c = a(cb) and also = (ac)b. thru Not for matrices in example

[@adrianott5248]

Did you record the proof of the associatvie property? Cant seem to find it!