Question 957908
Your matrix


{{{(matrix(3,4,1, -2, -3, -2,1, -4, -13,14,-3, 5 ,4 ,0))}}}

Find the pivot in the 1st column in the 1st row

{{{(matrix(3,4,1, -2, -3, -2,1, -4, -13,14,-3, 5 ,4 ,0))}}}


Eliminate the 1st column
	

{{{(matrix(3,4,1,-2,-3,-2,0,-2,-10,16,0,-1,-5,-6))}}}

Find the pivot in the 2nd column (inversing the sign in the whole row) and swap the 3rd and the 2nd rows

	

{{{(matrix(3,4,1,-2,-3,-2,0,1,5,6,0,-2,-10,16))}}}


Eliminate the 2nd column
	

{{{(matrix(3,4,1,0,7,10,0,1,5,6,0,0,0,28))}}}


Solution set:
The system is inconsistent.