Category:Linear algebra

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Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (or linear spaces), linear transformations, and systems of linear equations in finite dimensions. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis. Linear algebra also has a concrete representation in analytic geometry and it is generalised in operator theory. It has extensive applications in the natural sciences and the social sciences.

ru:Category:Линейная алгебра

Subcategories

There are 4 subcategories to this category.

A

• Affine geometry

M

• Matrix theory
• Multilinear algebra

V

• Vector spaces

Articles in category "Linear algebra"

There are 90 articles in this category.

3 3D projection A Adjacency matrix Affine space Affine transformation B Barycentric coordinates Basis (linear algebra) C Cayley-Hamilton theorem Change of bases Characteristic polynomial Circulant matrix Codimension Column space Conjugate transpose Coordinates vector Cramer's rule Cross product D Determinant Dimension Direct sum Dot product Dual space E Eigenplane Eigenvalue Eigenvalue algorithm Eigenvector G Gaussian elimination General linear group Generalized singular value decomposition Gramian matrix H Hessenberg matrix

H Hilbert space Homogeneous co-ordinates I Identity matrix Invariant subspace Inverse iteration J Jordan normal form K K-Vect L LU decomposition Least squares Levi-Civita symbol Linear algebra Linear combination Linear independence Linear span Linear subspace Linear transformation M Main diagonal Matrix (mathematics) Matrix decomposition Matrix theory Multilinear algebra N Normal basis Null space Null vector O Orthogonality P Partial trace Pfaffian Polynomial basis Predual Projection (linear algebra) Q Quadratic form

Q Quotient space (linear algebra) R Rank (matrix theory) Rayleigh quotient Rayleigh quotient iteration Row space S Scalar Self-adjoint Shear (mathematics) Similarity (mathematics) Singular Singular value decomposition Skew-symmetric matrix Spectral theorem Spectral theory Spectrum of an operator Standard basis Strassen algorithm System of linear equations T Tikhonov regularization Toeplitz matrix Trace (matrix) Transpose Triangular matrix Tridiagonal matrix Triple product U Unit vector Unitary matrix V Vector (spatial) Vector space

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