**Linear Algebra** is a branch of mathematics which deals with solutions of systems of linear equations and the related geometric notions of vector spaces and linear transformations. 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, ax + by = c. 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

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