Evaluate using elimination method 2 2 4 3 3 6 8 4 2SolutionW

Evaluate using elimination method |2 -2 4 3 -3 6 8 4 -2|

Solution

We will use Gauss-Jordan elimination, as under, to simplify the given determinant:

    1.Multiply the 1st row by ½

    2. Add -3 times the 1st row to the 2nd row

   3. Add -8 times the 1st row to the 3rd row

   4. Interchange the 2nd row and the 3rd row

   5. Multiply the 2nd row by 1/12            

   6. Add 1 times the 2nd row to the 1st row

Then the given determinant changes to

1

0

1/2

0

1

-3/2

0

0

0

Since the last row of the determinant is 0,0,0, the value of the determinant is 0.

Note:

1	0	1/2
0	1	-3/2
0	0	0