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List of linear algebra topics
This is a list of
linear algebra
topics
, by BambooWeb page. See also
list of matrices
glossary of matrix theory
glossary of tensor theory
.
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Linear equations
System of linear equations
Determinant
Minor (linear algebra)
Cauchy-Binet formula
Cramer's rule
Gauss-Jordan elimination
Strassen algorithm
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Matrices
Matrix theory
Matrix addition
Matrix multiplication
Basis transformation matrix
Characteristic polynomial
Trace (matrix)
,
trace
Cayley-Hamilton theorem
Eigenvalue
,
eigenvector
Jordan normal form
Rank (matrix theory)
Matrix inversion
,
invertible matrix
Pseudoinverse
Adjugate
Transpose
Dot product
Symmetric matrix
Orthogonal matrix
Skew-symmetric matrix
Conjugate transpose
Unitary matrix
Hermitian matrix
,
Antihermitian
Positive definite
,
positive semidefinite
,
positive-definite matrix
Pfaffian
Projection (linear algebra)
Diagonal matrix
,
main diagonal
Diagonalizable matrix
Tridiagonal matrix
Hessenberg matrix
Triangular matrix
Spectral theorem
Stochastic matrix
Toeplitz matrix
Hankel matrix
Vandermonde matrix
Block matrix
(0,1)-matrix
Sparse matrix
Payoff matrix
Woodbury matrix identity
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Matrix decompositions
Cholesky decomposition
LU decomposition
QR decomposition
Spectral theorem
Singular value decomposition
Schur decomposition
Schur complement
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Computations
Householder transformation
Least squares
,
linear least squares
Gram-Schmidt process
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Vectors
Scalar multiplication
Linear combination
Linear span
Linear independence
Basis (linear algebra)
Coordinates vector
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Vector spaces
Basis (linear algebra)
=
Hamel basis
Dimension theorem for vector spaces
=
Hamel dimension
Examples
Vector space example 1
Vector space example 2
Vector space example 3
Linear transformation
Galilean transformation
,
Lorentz transformation
Column space
Row space
Null space
,
nullity
Rank-nullity theorem
Dual space
Linear function
Linear functional
Orthogonality
Orthogonal projection
Improper rotation
Category of vector spaces
Subspace
Normed vector space
Inner product space
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Multilinear algebra
Tensor
Classical treatment of tensors
Intermediate treatment of tensors
Component-free treatment of tensors
Tensor algebra
Exterior algebra
Symmetric algebra
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Affine space
Affine transformation
Affine group
Affine geometry
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Projective space
Projective transformation
Projective geometry
Quadrics