Using determinants to compute eigenvalues & eigenvectors

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Motivated by the geometric picture of the previous video, we rewrite the main eigenvalue-eigenvector formula in terms of determinants.

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

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Trefor Bazett, at 2:21 you say that the condition for "x" is that it is NOT equal to 0, yet you didn't write it in your notes... Just wanted to point that out for everyone else too

isaackay

With your explanation, this equation and why we use that particular method for finding eigenvalues finally clicked. And just in time for the exam :) thank you!

michaelmalone

Very tough subject indeed. I am sticking with this. Math, chess and programming are wonderful for the 🧠

johnadriandodge

I would love if you had some resources to do practice problems for the courses you are explaining. I’ve been having trouble in my linear algebra class(mostly just not able to understand the teacher) and you have been so helpful in helping me learn the material. My grade has definitely been boosted a letter grade or two. Thank you so much.

jaylamyers

I wonder why you keep writing the condition x is NOT equal to zero as x = 0.

nenadilic

Sir can i found eigenvector by determininate?

Not eigenvalue l mean

If you give an example your vedio become so usefull
Thank you for what you give

wryanihad

I believe there's no video in the playlist about the meaning of summing matrices and the distributive property applied to matrices in the way shown at 2:00

naiko

Describe with a example ...how can we find the eigen values of a matrix if the determinant is

AlamgirHossainCSE

Also learn about pivot variables and pivot columns

gregbg

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