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Linear algebra is a branch of mathematics that is concerned with vector space & linear mapping between spaces. It is a study of planes, subspaces, lines & intersection of them using algebra. it assigns vectors as coordinates of points in space so operations on vectors define operations on points in space. It is central to both pure & applied mathematics. It facilitates solution of linear system of differential equations. Techniques are used in engineering, computer science, physics, analytic geometry, natural science, social science and computer animation. It is well developed theory. It also deals with general statements of relations that utilizes symbols and letters and represent sets of values, numbers, vectors etc.
It is an algebraic system like a ring where elements can be multiplied by real or complex number including other elements too. A special system of notation is adapted to study special system of relationship which is termed as algebra of classes.
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