Determinants & Matrices

INDEX

A B C D E F G H I J K L M N O P Q R S T U V Z

A
Addition of matrices
Adjoint minor
Adjoint minor determinant
Admissible partial space

B
Base

C
Cayley-Hamilton relations
Characteristic equation
Characteristic of permutation
Characteristic roots
Characteristic roots
^{Classes of}I^similarity
Coefficient matrix
Column
Commutable
Complementary minor determinant
Constant polynomial
Contragredient
Contragredient and orthogonal matrices
Cramer's rule

D
Decomposable matrix
Decomposition into components with a single characteristic root.
Decomposition into elementary components
Decomposition into linear factors
Defect of a matrix
Definite negative forms
Degree
Degree of polynomial
Determinant expansion formulae
Determinant of order n
Determinant of the matrix
Determinant of transposed matrix
Determinants
Determinants and matrices
Determinants of second and third order
Determinants, basic properties
Determinants, evaluation
Determinants, most important properties
Diagonal matrix
Dimension of vector space
Discriminant
Double summation

E
Eigenvalues
Eigenvalues
Elementary divisor
Elementary divisor
Even permutation
Expansion formulae
Expansion formulae of determinants
Expansion with respect to i-th row

F
Form
Fundamental Theorem of Algebra

G
General solution
General solution of a homogeneous system
Group of regular matrices

H
Hadamard's determinant estimate
Hermitian matrix
Hermitian/Quadratic forms
Homogeneous and non-homogeneous equations
Homogeneous equations
Homogeneous variable

I
Inner product
Inner product
Interlinkage of partial types
Invariant of similarity
Inverse matrix
Inversion
Irreducible set of matrices

J
Jordan's normal form

K
k-fold root
Kronecker product

L
Laplace's expansion
Laplace's expansion rule
Length of a vector
Linear combinations
Linear dependence
Linear equations
Linear forms
Linear independence
Linear mapping
Linear mapping
Linear substitution

M
Mathematical induction
Matrix
Matrix calculus
Matrix columns
Matrix rows
Matrix, rank
Matrix, transposed
Matrix, triangular
Minor determinant
Minor determinant
Multiple root
Multiplication of determinants
Multiplication of matrices
Multiplication rule for determinants

N
Non-homogeneous equations
Norm of a vector
Normal form matrix
Normalized orthogonal system
Normalized vector
Null-polynomial
Null-vector
Numerical solution of linear equations

O
Odd permutation
Orthogonal
Orthogonal bases
Orthogonal vectors

P
Partial matrices
Permutation matrix
Permutations
Polynomial Identity Theorem
Polynomial, homogeneous
Polynomials
Polynomials, identical
Positive definite
Positive definite form
Preparatory information
Principal axes transformation
Principal diagonal

Q
Quadratic form
Quadratic form

R
Rank equation
Rank of a matrix
Rank of a matrix
Rank of a product
Rational function
Rectangular matrices
Reflexivity
Relationship between different bases
Root
Row

S
Sarrus rule
Scalar matrices
Scalar product
Schur's auxiliary rule
Similar matrix
Similarity
Solubility of non-homogeneous systems of equations
Summation index
Symmetric matrix
Symmetric matrix
Symmetry

T
Trace of matrix
Transformation of Hermitian forms
Transformation, regular
Transformation, singular
Transivity
Transposed matrix
Triangular matrix
Trivial solution

U
Unit matrix
Unitary

V
Vandermonde determinants
Vector
Vector calculus
Vector space
Vector space, dimension of
Vector spaces

Z
Zero