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2. Linear algebra - Wikipedia

   en.wikipedia.org/wiki/Linear_algebra

   These equations, often complex and non-linear, can be linearized using linear algebra methods, allowing for simpler solutions and analyses. In the field of fluid dynamics, linear algebra finds its application in computational fluid dynamics (CFD), a branch that uses numerical analysis and data structures to solve and analyze problems involving ...

3. Linear complementarity problem - Wikipedia

   en.wikipedia.org/wiki/Linear_complementarity_problem

   "The linear complementarity problem, sufficient matrices, and the criss-cross method" (PDF). Linear Algebra and Its Applications. 187: 1–14. doi: 10.1016/0024-3795(93)90124-7. Murty, Katta G. (January 1972). "On the number of solutions to the complementarity problem and spanning properties of complementary cones" (PDF).

4. Exercise (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Exercise_(mathematics)

   This text includes "Functions and Graphs in Applications" (Ch 0.6) which is fourteen pages of preparation for word problems. Authors of a book on finite fields chose their exercises freely: [ 5 ] In order to enhance the attractiveness of this book as a textbook , we have included worked-out examples at appropriate points in the text and have ...

5. Vectorization (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Vectorization_(mathematics)

   The vectorization is frequently used together with the Kronecker product to express matrix multiplication as a linear transformation on matrices. In particular, vec ⁡ ( A B C ) = ( C T ⊗ A ) vec ⁡ ( B ) {\displaystyle \operatorname {vec} (ABC)=(C^{\mathrm {T} }\otimes A)\operatorname {vec} (B)} for matrices A , B , and C of dimensions k ...

6. Numerical linear algebra - Wikipedia

   en.wikipedia.org/wiki/Numerical_linear_algebra

   For many problems in applied linear algebra, it is useful to adopt the perspective of a matrix as being a concatenation of column vectors. For example, when solving the linear system =, rather than understanding x as the product of with b, it is helpful to think of x as the vector of coefficients in the linear expansion of b in the basis formed by the columns of A.

7. 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.

8. Outline of linear algebra - Wikipedia

   en.wikipedia.org/wiki/Outline_of_linear_algebra

   Download as PDF; Printable version; In other projects ... This is an outline of topics related to linear algebra, the branch of mathematics concerning linear ...

9. Cramer's rule - Wikipedia

   en.wikipedia.org/wiki/Cramer's_rule

   In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by replacing one column by the ...