IsUpperTriangular

Tests if a matrix is upper triangular.

Syntax

• IsUpperTriangular(A[, ε])

  • A is a matrix

  • ε is a positive number

Description

If A is a matrix, not necessarily square, then IsUpperTriangular(A, ε) is true iff i > j implies A[i, j] = 0 (with epsilon ε).

Examples

A ≔ ❨❨5, 3, 2, 1, 0❩, ❨0, 2, 4, 5, 3❩, ❨0, 0, 1, 2, 3❩, ❨0, 0, 0, 5, 1❩, ❨0, 0, 0, 0, 4❩❩

⎛5  3  2  1  0⎞
⎜0  2  4  5  3⎟
⎜0  0  1  2  3⎟
⎜0  0  0  5  1⎟
⎝0  0  0  0  4⎠

IsUpperTriangular(A)

true

See also

• IsLowerTriangular

• IsTriangular

• IsUpperHessenberg

• ToUpperTriangular