Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Assume $A$ is a positive definite matrix, and $B$ is a matrix with zero row sum.
Does matrix $A$ exist such that $AB$ is strictly diagonally dominant?
How can a matrix with row sums $0$ be strictly diagonally dominant?
Required, but never shown