IsUpperTrapezoidal

Check if a rectangular (not square) m-by-n matrix is upper trapezoidal.

bool matrix::IsUpperTrapezoidal();

Return Value

True if matrix is upper trapezoidal.

Note

Zero matrix of m-by-n size is upper trapezoidal.

Check if lower triangular part under the main diagonal contains all zeros.

Upper trapezoidal matrices

v v v v v v v v v v v v v
0 v v v v v v v v v v v v
0 0 v v v v v 0 v v v v v
0 0 0 v v v v 0 0 v v v v
0 0 0 0 v v v 0 0 0 v v v
0 0 0 0 0 v v 0 0 0 0 v v
0 0 0 0 0 v

IsLowerTriangular

IsLowerTrapezoidal