Linear Algebra - Lecture 37: Introduction to Eigenvalues and Eigenvectors

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We introduce eigenvalues and eigenvectors of a matrix. We demonstrate how to calculate eigenvalues via determinants, and how to calculate eigenvectors by solving linear systems.

Please leave a comment below if you have any questions, comments, or corrections.

Timestamps:
00:00 - Introduction
02:47 - Definition
04:11 - Finding an eigenvalue from an eigenvector (example)
06:17 - How to find eigenvalues
11:04 - Finding eigenvalues (2x2 example)
13:15 - How to find eigenvectors
21:30 - Eigenspaces
23:38 - 3x3 example

#linearalgebra #eigenvaluesandeigenvectors #matrices #math
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Best explanation ever! Using mathematical definitions and theorems combined with visual representations really helped me out to not only understand, but also to apply!

benny
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Very well explained ! Most insightful explation on the web that I have come across ! Thnaks !

rd-tkjs