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2. Linear algebra - Wikipedia

   en.wikipedia.org/wiki/Linear_algebra

   The application of linear algebra in this context is vital for the design and operation of modern power systems, including renewable energy sources and smart grids. Overall, the application of linear algebra in fluid mechanics, fluid dynamics, and thermal energy systems is an example of the profound interconnection between mathematics and ...

3. Determinant - Wikipedia

   en.wikipedia.org/wiki/Determinant

   The above formula shows that its Lie algebra is the special linear Lie algebra consisting of those matrices having trace zero. Writing a 3 × 3 {\displaystyle 3\times 3} -matrix as A = [ a b c ] {\displaystyle A={\begin{bmatrix}a&b&c\end{bmatrix}}} where a , b , c {\displaystyle a,b,c} are column vectors of length 3, then the gradient over one ...

4. Outline of linear algebra - Wikipedia

   en.wikipedia.org/wiki/Outline_of_linear_algebra

   This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations in vector spaces and through matrices. Linear equations

5. System of linear equations - Wikipedia

   en.wikipedia.org/wiki/System_of_linear_equations

   Because a solution to a linear system must satisfy all of the equations, the solution set is the intersection of these lines, and is hence either a line, a single point, or the empty set. For three variables, each linear equation determines a plane in three-dimensional space , and the solution set is the intersection of these planes.

6. Linear Algebra and Its Applications - Wikipedia

   en.wikipedia.org/wiki/Linear_Algebra_and_Its...

   Linear Algebra and its Applications is a biweekly peer-reviewed mathematics journal published by Elsevier and covering matrix theory and finite-dimensional linear algebra. History [ edit ]

7. Numerical linear algebra - Wikipedia

   en.wikipedia.org/wiki/Numerical_linear_algebra

   Numerical linear algebra, sometimes called applied linear algebra, is the study of how matrix operations can be used to create computer algorithms which efficiently and accurately provide approximate answers to questions in continuous mathematics. It is a subfield of numerical analysis, and a type of linear algebra.

8. Applied mathematics - Wikipedia

   en.wikipedia.org/wiki/Applied_mathematics

   A numerical solution to the heat equation on a pump casing model using the finite element method.. Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational methods, and numerical analysis); and applied probability.

9. Linear algebraic group - Wikipedia

   en.wikipedia.org/wiki/Linear_algebraic_group

   For example, a linear algebraic group is solvable if it has a composition series of linear algebraic subgroups such that the quotient groups are commutative. Also, the normalizer , the center , and the centralizer of a closed subgroup H of a linear algebraic group G are naturally viewed as closed subgroup schemes of G .