A square matrix is semimagic if the rows and columns add to the same value, that is,

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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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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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