We introduce the idea of eigenvalues and eigenvectors geometrically. Eigenvectors coorespond to a direction where the matrix acts only by stretching, with stretching factor the eigenvalues. This makes the matrix transformation very simple in these directions!
How to COMPUTE eigenvalues/eigenvectors: • Using determinants to compute eigenva...
How to VISUALIZE a basis of eigenvectors: • Visualizing Diagonalization & Eigenbases
Course Playlists:
►Linear Algebra: • Linear Algebra (Full Course)
►Calculus I: • Calculus I (Limits, Derivative, Integ...
►Calculus II: • Older Calculus II (New Playlist For S...
►Discrete Math: • Discrete Math (Full Course: Sets, Log...
*****************************************************
►Follow me on Twitter: / treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.
BECOME A MEMBER:
►Join: / @drtrefor
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett