http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
1. Fundamentals on vector spaces and linear transformations -- Bases and coordinates -- Linear transformations and matrices -- Some special matrices -- Polynomials in T and A -- Subspaces, complements, and invariant subspaces -- 2. The structure of a linear transformation -- Eigenvalues, eigenvectors, and generalized eigenvectors -- The minimum polynomial -- Reduction to BDBUTCD form -- The diagonalizable case -- Reduction to Jordan Canonical Form -- Exercises -- 3. An algorithm for Jordan Canonical Form and Jordan Basis -- The ESP of a linear transformation -- The algorithm for Jordan Canonical Form -- The algorithm for a Jordan Basis -- Examples -- Exercises -- A. Answers to odd-numbered exercises -- Notation.
Synthesis lectures on mathematics and statistics ; #6