Matrix Addition

linear-algebra

Definition

Matrix Addition

Let $A,B\in F^{m\times n}$ be matrices over a field $F$. Matrix addition is the entrywise operation

$$+:F^{m\times n}\times F^{m\times n}\to F^{m\times n}.$$

Einstein Notation: $(A+B{)}_{ij}=A_{ij}+B_{ij}\in F^{m\times n}$