Eigenspaces — Topic Summaries
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Abstract Linear Algebra 35 | Definition of Jordan Normal Form
Jordan normal form is the canonical matrix form that every linear operator on a complex vector space can be reduced to via a change of basis, even...
Linear Algebra 53 | Eigenvalues and Eigenvectors [dark version]
Eigenvalues and eigenvectors identify directions that a linear transformation preserves up to scaling—turning a complicated matrix action into a...
Abstract Linear Algebra 34 | Eigenvalues and Eigenvectors for Linear Maps
Eigenvectors and eigenvalues for a linear map are defined by a simple “scaling” condition: a nonzero vector X is an eigenvector of L if L(X) lands in...