An Elementary Example of the Jordan Canonical Form

We find the Jordan Canonical Form of a 3x3 matrix in this video. This matrix has an eigenvalue of multiplicity 3 and the eigenspace is one-dimensional. The generalized eigenvectors come from a chain of properly nested subspaces which correspond to ker(A-\lambda Id), ker(A-\lambda Id)^2 and ker(A-\lambda Id)^3

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