Frobenius norm

In mathematics, a matrix norm is a natural extension of the notion of a vector norm to matrices.

In what follows, ${\displaystyle K}$ will denote either field of real or complex numbers.

Let ${\displaystyle K^{m\times n}}$ denote the vector space of all matrices of size ${\displaystyle m\times n}$ (with ${\displaystyle m}$ rows and ${\displaystyle n}$ columns) with entries in the field ${\displaystyle K}$.

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