Frobenius Norm#
Definition:
The Frobenius norm of a real matrix \(A \in \mathbb{R}^{m \times n}\) is defined as follows:
\[\sqrt{\sum_{i = 1}^m \sum_{j = 1}^n a_{ij}^{2}}\]
Notation
\[||A|| \qquad ||A||_2\]
Proof: Frobenius Norm is a Norm
TODO
Definition:
The Frobenius norm of a real matrix \(A \in \mathbb{R}^{m \times n}\) is defined as follows:
Notation
TODO