## Precalculus (6th Edition)

$\left[\begin{array}{lllll} 4 & -2 & 3 & | & 4\\ 3 & 5 & 1 & | & 7\\ 5 & -1 & 4 & | & 7 \end{array}\right]$, dimension: 3$\times$4
Rewrite the system with the constants on the RHS. $\left\{\begin{array}{l} 4x-2y+3z=4\\ 3x+5y+z=7\\ 5x-y+4z=7 \end{array}\right.$ A matrix of dimension n$\times$m has n rows and m columns. The augmented matrix of the system consists of the elements of the coefficients matrix to the left, and the elements of the constants matrix to the right of (an optional) vertical line: $\left[\begin{array}{lllll} 4 & -2 & 3 & | & 4\\ 3 & 5 & 1 & | & 7\\ 5 & -1 & 4 & | & 7 \end{array}\right]$, dimension: 3$\times$4