Generic square matrix with positive 1 bounded entries
Considering a matrix $A=(a_{i.j})$ where $0 \leq a_{i,j} < 1 \forall i,j$. It is important to consider that all entries are strictly lower than 1 and positive.
Rows sum to a number lower than 1
Let us consider that the sum of all entries of matrix $A$'s rows is lower than 1: $\sum_{j=1}^{n}a_{i,j} < 1$. Sorry, maybe I did not specify it, only wrote in the formula, I talk about rows. Rows sum to a number lower than 1.
Determinant...
Let us consider $\det(A)$ (determinant).
Is it true that $\det(A)<1$???
Or maybe $|\det(A)| < 1$???