system of linear equations

  • 11Linear regression — Example of simple linear regression, which has one independent variable In statistics, linear regression is an approach to modeling the relationship between a scalar variable y and one or more explanatory variables denoted X. The case of one… …

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  • 12linear equation — Math. 1. a first order equation involving two variables: its graph is a straight line in the Cartesian coordinate system. 2. any equation such that the sum of two solutions is a solution, and a constant multiple of a solution is a solution. Cf.… …

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  • 13linear algebra — Math. See under algebra (def. 2). [1890 95] * * * Branch of algebra concerned with methods of solving systems of linear equations; more generally, the mathematics of linear transformations and vector spaces. Linear refers to the form of the… …

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  • 14Linear — The word linear comes from the Latin word linearis , which means created by lines .In advanced mathematics, a linear map or function f ( x ) is a function which satisfies the following two properties:* Additivity (also called the superposition… …

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  • 15linear programming — Math. any of several methods for finding where a given linear function of several nonnegative variables assumes an extreme value and for determining the extreme value, the variable usually being subjected to constraints in the form of linear… …

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  • 16Linear congruence theorem — In modular arithmetic, the question of when a linear congruence can be solved is answered by the linear congruence theorem. If a and b are any integers and n is a positive integer, then the congruence: ax equiv; b (mod n ) (1)has a solution for x …

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  • 17Simultaneous equations — In mathematics simultaneous equations are a set of equations containing multiple variables. This set is often referred to as a system of equations. To solve simultaneous equations, the solver needs to use the provided equations to find the exact… …

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  • 18Overdetermined system — For the philosophical term, see overdetermination. In mathematics, a system of linear equations is considered overdetermined if there are more equations than unknowns.[1] The terminology can be described in terms of the concept of counting… …

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  • 19Rank (linear algebra) — The column rank of a matrix A is the maximum number of linearly independent column vectors of A. The row rank of a matrix A is the maximum number of linearly independent row vectors of A. Equivalently, the column rank of A is the dimension of the …

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  • 20Linear prediction — is a mathematical operation where future values of a discrete time signal are estimated as a linear function of previous samples.In digital signal processing, linear prediction is often called linear predictive coding (LPC) and can thus be viewed …

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