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Adjacent Words

Lineal measure
Linear A
Linear A and Linear B
linear accelerator
linear approximation
Linear B
linear combination
linear dependence
Linear differential equation
linear equation
linear function
linear independence
linear induction motor
linear interpolation
linear leaf
linear measure
linear motor
Linear numbers
linear operator

linear algebra definitions

WordNet (r) 3.0 (2005)

1: the part of algebra that deals with the theory of linear equations and linear transformation

Merriam Webster's

noun Date: 1870 a branch of mathematics that is concerned with mathematical structures closed under the operations of addition and scalar multiplication and that includes the theory of systems of linear equations, matrices, determinants, vector spaces, and linear transformations

Britannica Concise

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 equations involved--in two dimensions, . Geometrically, this represents a line. If the variables are replaced by vectors, functions, or derivatives, the equation becomes a linear transformation. A system of equations of this type is a system of linear transformations. Because it shows when such a system has a solution and how to find it, linear algebra is essential to the theory of mathematical analysis and differential equations. Its applications extend beyond the physical sciences into, for example, biology and economics.


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