Triangular matrices

Linear Algebra and the C Language · Wikibooks

0%

Contents

    Text

    Size
    100%
    Theme
    Typeface
    Line length
    Spacing

    From Wikibooks, under CC BY-SA 4.0, as the source states it. This page at Wikibooks.

    Triangular matrices


    Triangular matrices:

    In mathematics, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal are zero. Similarly, a square matrix is called upper triangular if all the entries below the main diagonal are zero... Wikipedia: Triangular matrix


    Multiplying lower triangular matrices

    Multiplying upper triangular matrices

    The inverse of a lower triangular matrix:

    The inverse of an upper triangular matrix:

    Eigenvalues and ​​eigenvectors of a diagonal matrix:

    Eigenvalues and ​​eigenvectors of a lower triangular matrix:

    Eigenvalues and ​​eigenvectors of a upper triangular matrix:

    Code study

    Diagonal matrix:

    Lower triangular matrix:

    Upper triangular matrix: