Matrix Analysis
Notebooks to accompany the second edition of Matrix Analysis, widely considered to be the definitive survey of the field. Topics covered include similarities, decompositions, factorizations, and eigenvalue inequalities of matrices. Any mathematician aspiring to work with matrices should be intimately familiar with the results of this text.
Notebooks
Chapter 1: Eigenvalues, Eigenvectors, and Similarity
Chapter 2: Unitary Similarity and Unitary Equivalence
Chapter 3: Canonical Forms for Similarity and Triangular Factorizations
Chapter 4: Hermitian Matrices, Symmetric Matrices, and Congruences