According to this page: https://mathworld.wolfram.com/FrobeniusNorm.html the frobenius norm is equal to: $$\left\|A\right\|_F=\sqrt{\sum_{i=1}^m\sum_{i=1}^n |a_{i, j}|^2}$$ and I find it weird that it takes the absolute value on top of squaring it. Why is that? Wouldn't just squaring it suffice?
2026-03-27 17:52:35.1774633955
Why does the Frobenius Norm take the squares of the absolute values?
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