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2. Linear algebra - Wikipedia

   en.wikipedia.org/wiki/Linear_algebra

   The blue line is the common solution to two of these equations. Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices. [1][2][3] Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental ...

3. Outline of linear algebra - Wikipedia

   en.wikipedia.org/wiki/Outline_of_linear_algebra

   Download as PDF; Printable version; ... This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps ...

4. Elementary matrix - Wikipedia

   en.wikipedia.org/wiki/Elementary_matrix

   In mathematics, an elementary matrix is a square matrix obtained from the application of a single elementary row operation to the identity matrix. The elementary matrices generate the general linear group GLn(F) when F is a field. Left multiplication (pre-multiplication) by an elementary matrix represents elementary row operations, while right ...

5. Jordan normal form - Wikipedia

   en.wikipedia.org/wiki/Jordan_normal_form

   The lambdas are the eigenvalues of the matrix; they need not be distinct. In linear algebra, a Jordan normal form, also known as a Jordan canonical form, [1][2] is an upper triangular matrix of a particular form called a Jordan matrix representing a linear operator on a finite-dimensional vector space with respect to some basis.

6. System of linear equations - Wikipedia

   en.wikipedia.org/wiki/System_of_linear_equations

   In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. [1][2] For example, is a system of three equations in the three variables x, y, z. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously ...

7. Row echelon form - Wikipedia

   en.wikipedia.org/wiki/Row_echelon_form

   Row echelon form. In linear algebra, a matrix is in row echelon form if it can be obtained as the result of Gaussian elimination. Every matrix can be put in row echelon form by applying a sequence of elementary row operations. The term echelon comes from the French échelon ("level" or step of a ladder), and refers to the fact that the nonzero ...