I mean what is the mane of the following operation
For square matrix $A,B$
$$ A ? B = \sum_{i,j}a_{i,j} b_{i,j} = Tr(A^T B) $$
2026-03-27 16:47:56.1774630076
I'm looking for the right term of matrix by matrix multiplication that return scalar
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If you assume the matrices are real, then it’s a common matrix inner product called the Frobenius inner product: https://en.m.wikipedia.org/wiki/Frobenius_inner_product?wprov=sfti1