Given a symmetric matrix $B$ how we compute $$(\mathop{tr}B)^2 =\sum_{i,j} b_{ii} b_{jj}.$$ Could you please someone cast some light?
2026-04-03 16:47:02.1775234822
Why $ (\mathop{tr} B)^2 =\sum_{i,j} b_{ii} b_{jj}$?
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This is really just the fact that $$(\sum_i a_i)^2 = (\sum_i a_i)(\sum_j a_j) = \sum_{i,j} a_i a_j$$