Topic summary

Upper triangular matrix

Upper triangular matrix

Extracted from the Wikipedia article Triangular matrix.

Algebras of triangular matrices

  • The sum of two upper triangular matrices is upper triangular.
  • The product of two upper triangular matrices is upper triangular.
  • The inverse of an upper triangular matrix, if it exists, is upper triangular.
  • The product of an upper triangular matrix and a scalar is upper triangular.