Question

If you were to use Gauss-Jordan elimination on the following linear system, what would the augmented matrix be?

3w − x = 2y + z − 4
9x − y + z = 10
4w + 3y − z = 7
12x + 17 = 2y − z + 6

Answer 1

awe yiss, gauss-jordan elimination
well, you would have to get it into form
ax+bx+cy+dz=e where a,b,c,d,e are constants

then just take their coefients
so

get into  that form

3w-1x-2y-1z=-4
0w+9x-1y+1z=10
4w+0x+3y-1z=7
0w+12x-2y+1z=-11

depending on if you put w first or last (I would put it first before x) if you put w first it would look like this
$\left[\begin{array}{ccccc}3&-1&-2&-1 |-4\\0&9&-1&1&|10\\4&0&3&-1&|7\\0&12&-2&1&|-11\end{array}\right]$


A is the answer