Definition:Augmented Matrix

Definition
Let $\mathbf A$ be a matrix of order $n \times m$.

Let $\mathbf B$ be a matrix of order $n \times k$.

The augmented matrix of $\mathbf A$ and $\mathbf B$ is the block matrix $\begin {pmatrix} \mathbf A & \mathbf B \end {pmatrix}$ of order $n \times \paren {m + k}$.