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Hermitian adjoint Trace Coefficient matrix Special linear group Lie algebra representation General linear group Characteristic polynomial Polarization identity Dual Polar decomposition Matrix norm Matrix algebra Special linear lie algebra Linear algebraic group Matrix decomposition Orthogonal matrix Linear form Hilbert matrix Matrix determinant lemma Commutation matrix Hessian matrix Invertible matrix Adjoint representation Hermitian matrix Matrix Self-adjoint operator Outer product Indefinite orthogonal group Laplacian matrix Row and column spaces Schur product theorem Frobenius normal form Laplace expansion Sylvester's formula Jacobian matrix and determinant Rank factorization Group representation Eigendecomposition of a matrix Linear relation Schmidt decomposition Bilinear form Linear map Spectral graph theory Orthonormal basis Circulant matrix Inner product Qr decomposition Stochastic matrix Leibniz formula for determinants Orthogonal basis Linear subspace Matrix pencil Lie product formula Rank Structure tensor Linear algebra Hodge star Matrix ring Transformation matrix Cholesky decomposition Lie algebra Tensor algebra Eigendecomposition Linear differential equation Schur complement Orthogonal group Transpose of a linear map Polynomial matrix Logarithmic norm Matrix normal distribution Linear function Hadamard matrix Singular value decomposition Schur decomposition Orthogonal complement Algebra over a field Matrix analysis Eigenvalue Matrix splitting Main diagonal Linear group Scalar product Min-max theorem Hermitian connection Linear span Tensor product Inverse matrix Special unitary group Modular group Covariance matrix Divergence theorem Hodge star operator Sylvester equation Augmented matrix Rank-nullity theorem Gradient Dual space Quadratic form Graph of a function Orthogonal transformation

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