Question: A square matrix is semimagic if the rows and columns add to the same value, that is, if we drop the condition on the diagonals.

A square matrix is semimagic if the rows and columns add to the same value, that is, if we drop the condition on the diagonals.
(a) Show that the set of semimagic squares Hn is a subspace of Mn×n.
(b) Show that the set Hn,0 of n×n semimagic squares with magic number 0 is also a subspace of Mn×n.

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