Practice problem
Convert the system of equations into its equivalent augmented matrix. {12x−9z+y=07z−18+6y=123x+9z+4w=7\begin{cases}12x-9z+y=0\\7z-18+6y=12\\3x+9z+4w=7\end{cases}⎩⎨⎧12x−9z+y=07z−18+6y=123x+9z+4w=7
[0121−9000673043097]\left[\begin{array}{cccc|c}0&12&1&-9&0\\0&0&6&7&30\\4&3&0&9&7\end{array}\right]0041203160−9790307
[12−9107−186123947]\left[\begin{array}{ccc|c}12&-9&1&0\\7&-18&6&12\\3&9&4&7\end{array}\right]1273−9−1891640127
[121−9000670−630947]\left[\begin{array}{cccc|c}12&1&-9&0&0\\0&6&7&0&-6\\3&0&9&4&7\end{array}\right]1203160−9790040−67
[121−90067303097−4w]\left[\begin{array}{ccc|c}12&1&-9&0\\0&6&7&30\\3&0&9&7-4w\end{array}\right]1203160−9790307−4w
Type a concept, like “slope” or “photosynthesis”.
