If $\text{rank}(S(i-1,j-1))=\text{rank}(S(i,j-1))=\text{rank}(S(i-1,j))$ then there is a unique value for $s_{ij}$ such that $\text{rank}(S(i,j))=\text{rank}(S(i-1,j-1))$, I want to know why does a unique value $s_{ij}$ exist?
2026-03-30 23:12:22.1774912342
Relation between ranks of submatrices of a matrix.
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