Definition – R^(m x n).

Contents
1. Definition

Definition

The set \mathbb{R}^{m\times{n}} is defined as,

\textbf{R}^{m\times n} = \{\begin{pmatrix} r_{1,1} & r_{1,2} & ... & r_{1,n} \\ r_{2,1} & r_{2,2} & ... & r_{2,n}\\ \vdots & \vdots & \ddots & \vdots \\ r_{m,1}& r_{m,2} & ... & r_{m,n} \end{pmatrix} ~|~r_{i,j} \in{\mathbb{R}} ~ \forall (i = 1, ..., m),~(j = 1, ..., n)\}