Section NLT: Nilpotent Linear Transformations
NJB Nilpotent Jordan Blocks
ENLT Eigenvalues of Nilpotent Linear Transformations
DNLT Diagonalizable Nilpotent Linear Transformations
KPLT Kernels of Powers of Linear Transformations
KPNLT Kernels of Powers of Nilpotent Linear Transformations
CFNLT Canonical Form for Nilpotent Linear Transformations
Section IS: Invariant Subspaces
EIS Eigenspaces are Invariant Subspaces
KPIS Kernels of Powers are Invariant Subspaces
GESIS Generalized Eigenspace is an Invariant Subspace
GEK Generalized Eigenspace as a Kernel
RGEN Restriction to Generalized Eigenspace is Nilpotent
MRRGE Matrix Representation of a Restriction to a Generalized Eigenspace
Section JCF: Jordan Canonical Form
GESD Generalized Eigenspace Decomposition
DGES Dimension of Generalized Eigenspaces
JCFLT Jordan Canonical Form for a Linear Transformation
CHT Cayley-Hamilton Theorem
Section ROD: Rank One Decomposition
ROD Rank One Decomposition
Section TD: Triangular Decomposition
TD Triangular Decomposition
TDEE Triangular Decomposition, Entry by Entry
Section SVD: Singular Value Decomposition
EEMAP Eigenvalues and Eigenvectors of Matrix-Adjoint Product
SVD Singular Value Decomposition
Section SR: Square Roots
PSMSR Positive Semi-Definite Matrices and Square Roots
EESR Eigenvalues and Eigenspaces of a Square Root
USR Unique Square Root
Section POD: Polar Decomposition
PDM Polar Decomposition of a Matrix
Section F: Fields
FIMP Field of Integers Modulo a Prime
Section T: Trace
TL Trace is Linear
TSRM Trace is Symmetric with Respect to Multiplication
TIST Trace is Invariant Under Similarity Transformations
TSE Trace is the Sum of the Eigenvalues
Section HP: Hadamard Product
HPC Hadamard Product is Commutative
HPHID Hadamard Product with the Hadamard Identity
HPHI Hadamard Product with Hadamard Inverses
HPDAA Hadamard Product Distributes Across Addition
HPSMM Hadamard Product and Scalar Matrix Multiplication
DMHP Diagonalizable Matrices and the Hadamard Product
DMMP Diagonal Matrices and Matrix Products
Section VM: Vandermonde Matrix
DVM Determinant of a Vandermonde Matrix
NVM Nonsingular Vandermonde Matrix
Section PSM: Positive Semi-Definite Matrices
CPSM Creating Positive Semi-Definite Matrices
EPSM Eigenvalues of Positive Semi-definite Matrices
Section CF: Curve Fitting
IP Interpolating Polynomial
LSMR Least Squares Minimizes Residuals
Section SAS: Sharing a Secret