<PRE><B>Question 913783</B>
0  	  0  	  6  	  4
9  	  5  	  1  	  6
8  	  4  	  1  	  3
4  	  0  	  2  	  5




Swap the 1st and the 2nd rows inversing determinant sign




9  	  5  	  1  	  6
0  	  0  	  6  	  4
8  	  4  	  1  	  3
4  	  0  	  2  	  5



 
Eliminate elements in the 1st column under the 1st element

9  	  5 	   	  1  	  	   6
0  	  0  	  	   6 	  	   4
0  	  -4/9  	  1/9  	  	   -7/3
0  	  -20/9  	  14/9  	  7/3




Swap the 2nd and the 3rd rows inversing determinant sign

9  	  5  	  1  	  6
0  	  -4/9  	  1/9  	  -7/3

0  	  0  	  6  	  4
0  	  -20/9  	  14/9  	  7/3



Eliminate elements in the 2nd column under the 2nd element

9  	  5  	  1  	  6
0  	  -4/9  	  1/9  	  -7/3
0  	  0  	  6  	  4
0  	  0  	  1  	 14




Eliminate elements in the 3rd column under the 3rd element

9  	  5  	  1  	  6
0  	  -4/9  	  1/9  	  -7/3
0  	  0  	  6  	  4
0  	  0  	  0  	 40/3




Multiply the main diagonal elements

9  	  5  	  1  	  6
0  	  -4/9  	  1/9  	  -7/3
0  	  0  	  6  	  4
0  	  0  	  0  	 40/3




{{{9 * (-4/9) * 6 * (40/3) = -320}}}

Determinant is {{{-320}}}
</PRE>