Linear Algebra: Eigenvalues and Eigenvectors

Wtf are eigenvalues and eigenvectors? I had that same thought and felt like I wasn't alone, so I went and figured it out and made a bunch of youtube tutorials about them. 

PS, did you know that "eigen" more or less means "my own" in Dutch? You'll understand the relevance once you go through the videos. 

Wtf are eigenvalues and eigenvectors 
Show that x is an eigenvector of A and find the corresponding eigenvalue
Show that λ is an eigenvalue of A and find a corresponding eigenvector
Find the characteristic polynomial of a matrix
Find the eigenvalues and eigenvectors of a 2x2 matrix
Find the eigenvalues and eigenvectors of a 3x3 matrix

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