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How to make this proof rigorous by introducing partition of numbers?
Question: Let $n$ be a positive integer and $ H_n=\{A=(a_{ij})_{n×n}\in M_n(K) : a_{ij}=a_{rs} \text{ whenever }
i +j=r+s\}$. Then what is $\dim H_n$?
Proof:
For $n=2$
$H_2=\begin{pmatrix} a_{11}&...
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