Eigenvectors and Generalized Eigenspaces

A video about the nice geometric intuitions behind eigenvectors and eigenvalues, and their generalized counterparts, generalized eigenvectors and generalized eigenvalues.

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[unes]

I got here from the link in the Coursera course, and this video has been super helpful in understanding some of that material better. Honestly, I found the way you explain it here much easier to follow, and the visuals are really clear.

[pakistan]

The way you explain things is fabulous. You're one of the best mentor i ever had. I respect you alot and love you. More success to you sir! ❤❤

[robharwood]

This was sooo helpful, giving me a lot of new insights that had stumped me for a long time. Thank you, Luis!

[jakob]

Your explanation of generalized eigenvectors were super clear and easy to understand. Know i finally get it. Thank you!

[profenevarez]

Hi Luis! Awesome visualization and explanation of such a cornerstone topic in Linear Algebra! I am teaching Linear Algebra and will definitely use this as a resource for my students. I met you at a Latinos in the Mathematical Sciences Conference at IPAM back in 2015 I believe, fellow UMich grad, Go Blue! I remember that you were working at YouTube back then. And you also worked with Alexis Cook at some point, Go Blue again! Anyways, it's cool to follow your journey and I, as many others, benefit greatly from your insights that you have in your content. Looking forward to the next one!

[skgamers]

This is what i was looking for after completing your coursera course.

[jimlbeaver]

I had never heard of this before…thanks for the clear explanation

[sumathiravi]

Really that is an amazing video. Kindly do keep up the good work Luis sir.

[MyAows]

As always, wonderful explanation, Luis.

[aitanapalomanespardos]

14:21 could you make a video, or give some intuition as to why the generalised eigenvector needs to have the same eigenvalue as the eigenvector? Lovely video, I enjoyed the geometric visualisation.

[chandamwenechanya]

Thank you Luis. This is very insightful.

[VidyaBhandary]

Thank you so much !! This is a clear explanation.

[shravan]

@serranoacademy in case you would like to edit the Video with a comment, at 7:38, you inadvertently mentioned Eigen Values for Eigen Vectors and then Eigen Vectors for Eigen Values.

[anelm.]

Amazing.. Particle Filter for Localization would be much appreciated

[herumbshandilya]

Just the thing that this world needed🙌

[ssshukla]

Without seeing the video I have already liked it. Am waiting for your book to be released since start of 2021 (the one which you writing with Manning publication). So can you tell the YouTube community when it will be released? It has delayed so many times that I had give up on keeping track of it...😓

[krTX]

if both Eigenvalues are same, say 2 and 2, then all lines are sent to themselves. So, are there now infinite eigenspaces?