KnowraSystem of linear equationsLinked fromLinked fromThe 17 pages that link to System of linear equations, each with the reason it gives.All 17Broader topic 2Related 12Narrower topic 2Compared with 1Vector spaceRelated: Solutions form an affine subset, or a vector space when the system is homogeneous.Linear combinationRelated: Solving a system often asks whether a target vector is a combination of given columns.Rank–nullity theoremRelated: Nullity counts the free dimensions among solutions to the associated homogeneous system.Linear mapRelated: A matrix equation packages such a system as a linear map applied to an unknown vector.Invertible matrixRelated: An invertible coefficient matrix guarantees a unique solution for every right-hand side.Kernel (linear algebra)Related: The solutions to a homogeneous system form a matrix kernel.Square matrixRelated: When equations and variables are equally numerous, their coefficients form a square matrix.Finite-dimensional vector spaceRelated: Its solution set can be analyzed using finite-dimensional linear algebra.Matrix theoryRelated: Writing coefficients as a matrix turns solving the system into a central matrix problem.Line–line intersectionRelated: A solution to the two lines' equations gives their intersection coordinates.Y-interceptRelated: The shared solution of two lines can coincide with one or both y-intercepts.Dimension theorem for vector spacesRelated: The theorem relates the number of free solution directions to the number of independent constraints.