Perform the Gauss Jordan elimination on the augmented matrix,
The last equation is first
#A=((8,-8,-2,|,4),(8,3,5,|,9),(7,2,-1,|,3))#
Perform the row operations
Make the first column the pivot , #R1larr(R1)/8#
#((1,-1,-1/4,|,1/2),(8,3,5,|,9),(7,2,-1,|,3))#
Eliminate the first column, #R2larr(R2-8R1)# and #R3larr(R3-7R1)#
#((1,-1,-1/4,|,1/2),(0,11,7,|,5),(0,9,3/4,|,-1/2))#
Make the pivot in the second column, #R2larr(R2)/11#
#((1,-1,-1/4,|,1/2),(0,1,7/11,|,5/11),(0,9,3/4,|,-1/2))#
Eliminate the second column, #R3larr(R3-9R2)#
#((1,-1,-1/4,|,1/2),(0,1,7/11,|,5/11),(0,0,-219/44,|,-101/22))#
Make the pivot in the third column, #R3larr(R3xx-44/219)#
#((1,-1,-1/4,|,1/2),(0,1,7/11,|,5/11),(0,0,1,|,202/219))#
Eliminate the third column, #R2larr R2-7/11R3#
#((1,-1,-1/4,|,1/2),(0,1,0,|,-29/219),(0,0,1,|,202/219))#
#R1larr(R1+R2)# and #R1larrR1+1/4R3#
#((1,0,0,|,131/219),(0,1,0,|,-29/219),(0,0,1,|,202/219))#
