Problem 44509. Determine if input is a valid AHP evaluation matrix

Hello, Mehmet OZC. Could you please clarify the requirement "Lower triangular part should be inverse of upper triangular part"? This seems to require that lowerTriangular{input} = inverse{ upperTriangular{input} }. However, that appears to be impossible (except for an identity matrix), as the result of taking that inverse will itself be upper triangular. http://mathworld.wolfram.com/MatrixInverse.html . —DIV

it should be an element-wise inverse operation. For example a(3,2)=1/a(2,3) . Inverse operation with scalar values not with a matrix.

You can also search for "Understanding the Analytic Hierarchy Process"

OK. I've had a quick look at https://doi.org/10.1007/978-3-319-33861-3_2 . On page 10 they clarify that elements a(x,y) and a(y,x) must be the _reciprocal_ of one another. So that's fine. But I haven't encountered a description of such a relation as "element-wise inverse" — is it an expression commonly used in that field?