# Matrix Norm

In mathematics, a matrix norm is a vector norm in a vector space whose elements (vectors) are matrices (of given dimensions).

### Frobenius Norm / Hibert-Schmidt Norm

The Frobenius Norm is given by $∥A∥_{F}=∑_{i}∑_{j}∣a_{ij}∣_{2} $

### Max Norm

The max norm is the element-wise norm in the limit as $p=q$ goes to infinity: $∥A∥_{max}=max_{ij}∣a_{ij}∣$