24 Matrices

Matrices are represented in GAP by lists of row vectors (see Row Vectors). The vectors must all have the same length, and their elements must lie in a common ring.

Because matrices are just a special case of lists, all operations and functions for lists are applicable to matrices also (see chapter Lists). This especially includes accessing elements of a matrix (see List Elements), changing elements of a matrix (see List Assignment), and comparing matrices (see Comparisons of Lists).

  • InfoMatrix V

    The info class for matrix operations is InfoMatrix.

    Sections

    1. Categories of Matrices
    2. Operators for Matrices
    3. Properties and Attibutes of Matrices
    4. Matrix Constructions
    5. Random Matrices
    6. Matrices Representing Linear Equations and the Gaussian Algorithm
    7. Eigenvectors and eigenvalues
    8. Elementary Divisors
    9. Echelonized Matrices
    10. Matrices as Basis of a Row Space
    11. Triangular Matrices
    12. Matrices as Linear Mappings
    13. Matrices over Finite Fields
    14. Block Matrices

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    GAP 4 manual
    February 2000