A
abelian group
adjoint of a matrix
adjugate of a matrix
algebraic multiplicity of eigenvalues

B
basis
bidiagonal matrix
block-diagonal matrix

C
cauchy-schwartz inequality
characteristic
 |_ equation; polynomial
cholesky decomposition
circulant matrix
circular matrix
cofactor
companion matrix
congruence of two matrices

D
decomposable matrix
decomposition
 |_ cholesky; ldu; lu; polar; qr
 |_ schur
 |   |_ generalised
 |   |_ real
 |       |_ generalised
 |_ singular value
defective matrix
derogatory matrix
determinant
diagonable matrix
diagonal matrix
diagonalisation of two matrices
diagonally dominant matrix
doubly stochastic matrix

E
eigenvalues of a matrix
euclidean norm
 |_ matrix; vector
exchange matrix

F
field, formal definition
frobenius norm matrix

G
generalised inverse
geometric multiplicity of eigenvalues
givens rotation

H
hankel matrix
hermite normal form
hermitian
 |_ matrix; transpose
hessenberg matrix
holder
 |_ inequality; norm

I
idempotent matrix
identity matrix
image
incidence matrix
integral domain
inverse
 |_ generalised; moore-penrose; pseudoinverse

J
jacobian
jordan normal form

K
kernel

L
ldu decomposition
linear independence
lu decomposition

M
matrix
 |_ bidiagonal; block_diagonal; circulant; circular; companion
 |_ decomposable; defective; definite; derogatory; diagonable
 |_ diagonal; diagonally dominant; doubly stochastic; exchange
 |_ givens
 |   |_ reflection; rotation
 |_ hadamard; hamiltonian; hankel; hermitian; hessenberg
 |_ hilbert; householder; hypercompanion; idempotent; identity
 |_ incidence; indefinite; integral; inversion lemma
 |_ involutary; jacobi; nilpotent; non-negative; normal
 |_ orthogonal; permutation; persymmetric; polynomial
 |_ positive definite; primitive; projection; reducible
 |_ regular; simple; singular; skew-hermitian; skew-symmetric
 |_ sparse; stability; stochastic; subunitary; symmetric
 |_ symmetrizable; symplectic; toeplitz; triangular; unitary
 |_ vandermonde; zero
minor
 |_ cofactor of
moore-penrose inverse
multiplicity of eigenvalues
 |_ algebraic; geometric

N
nilpotent matrix
norm
 |_ matrix
 |   |_ euclidean; frobenius; p
 |_ vector
     |_ euclidean; holder; p
normal matrix
null space

O
orthogonal matrix

P
p-norm
 |_ matrix; vector
permanent of a matrix
polar factorisation
projection matrix
pseudoinverse

Q
qr decomposition

R
range
rank
regular matrix
ring
row echelon form

S
schur decomposition
 |_ generalised
 |   |_ real
 |_ real
similar matrices
singular
 |_ matrix; value decomposition
sparse matrix
spectrum
stability matrix
stochastic matrix
submatrix
symmetric matrix
symmetrizable matrix
symplectic matrix

T
toeplitz matrix
trace of a matrix
transpose of a matrix
triangular matrix

U
unitary
 |_ matrix; similarity

V
vandermonde matrix
vector
 |_ norm
 |   |_ euclidean; p-norms
 |_ space

W

X

Y

Z
zero matrix