Recall that the augmented matrix of a linear system A x = b {\displaystyle A\mathbf {x} =\mathbf {b} } is simply the matrix [ A b ] {\displaystyle \left[{\begin{array}{c|c}A&\mathbf {b} \end{array}}\right]} .
![{\displaystyle \left[{\begin{array}{c|c}A&\mathbf {b} \end{array}}\right]}](https://wiki.ubc.ca/api/rest_v1/media/math/render/svg/67f82b2b77ae9d04879bfee2f7a6ad1eed1dcb06)