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Useful Matrix Theory

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Affine space
Affine transformation
Basis (linear algebra)
Broyden–Fletcher–Goldfarb–Shanno algorithm
Cayley–Hamilton theorem
Change of basis
Cholesky decomposition
Conjugate gradient method
Conjugate transpose
Convex function
Convex optimization
Determinant
Dual space
Eigenvalues and eigenvectors
Galilean transformation
Gradient descent
Haynsworth inertia additivity formula
Hessenberg matrix
Hessian matrix
Higher-order singular value decomposition
Householder transformation
Householder's method
Inner product space
Jacobian matrix and determinant
Lagrange multiplier
Least squares
Line search
Linear least squares (mathematics)
Linear map
Lipschitz continuity
Lorentz transformation
LU decomposition
Matrix congruence
Matrix consimilarity
Matrix similarity
Minor (linear algebra)
Moore–Penrose pseudoinverse
Newton's method
Newton's method in optimization
Nonlinear programming
Norm (mathematics)
Normed vector space
Nullity theorem
Orthogonal matrix
Orthonormality
Polar decomposition
Preconditioner
QR decomposition
Rank–nullity theorem
Schur complement
Schur decomposition
Shear mapping
Singular value decomposition
Spectral theorem
Squeeze mapping
Stochastic gradient descent
Topological vector space
Transformation matrix
Tridiagonal matrix
Woodbury matrix identity