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linear algebra |
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linear algebraBranch 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. 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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We suggest some short cuts to compute eigenvalues be incorporated into standard elementary linear algebra texts. This year, the questions seemed a little easier, said Kuykendall, who besides attending high school is studying linear algebra at College of the Canyons. To help illustrate the ideas, a detailed outline for an introduction to the dot product in linear algebra is given. |
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