abstract algebra algebra algebraic structure algorithm analytic geometry arithmetic arthur cayley axiom of choice bangladesh cardinality cartesian coordinate system category theory column space combinatorics complex number correlation cross-correlation cross product determinant diagonalizable matrix differential calculus dimension theorem for vector spaces dot product dual space dynamical systems theory economics edward thomas copson elementary algebra finitely generated module force france francis galton functional analysis game theory geometry germany hermann grassmann if and only if india information theory inner product space invertible matrix isomorphism japan lamar university least squares line segment linear linear combination linear independence linear map linear span list of linear algebra references list of linear algebra topics list of matrices ludwik silberstein mit opencourseware mathworld mathematical analysis mathematical logic mathematical physics mathematics matrix decomposition matrix theory multilinear algebra multivariate random variable natural science number theory numerical analysis numerical linear algebra operator theory orthogonality outer product partial differential equation planetmath positive-definite matrix positive semidefinite probability theory quaternion random variable real number riemannian geometry ring theory row space set theory social sciences spain special relativity spectral theorem statistics system of linear equations tensor product theorem theory of computation topology transpose trigonometry united kingdom united states university of edinburgh vector projection vector space well-defined wikibooks william rowan hamilton