SOLUTION: help me please. what is the value of the determinant? (3x3) |3 6 8| |2 4 0| |3 6 8|

Algebra.Com
Question 207871: help me please. what is the value of the determinant? (3x3)
|3 6 8|
|2 4 0|
|3 6 8|
Found 2 solutions by jim_thompson5910, pjalgeb:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: Finding the Determinant of a 3x3 Matrix

If you have the general 3x3 matrix:



the determinant is:

Which further breaks down to:



Note: , and are determinants themselves.
If you need help finding the determinant of 2x2 matrices (which is required to find the determinant of 3x3 matrices), check out this solver

--------------------------------------------------------------


From the matrix , we can see that , , , , , , , , and

Start with the general 3x3 determinant.

Plug in the given values (see above)

Multiply

Subtract

Multiply

Combine like terms.


======================================================================


Answer:

So , which means that the determinant of the matrix is 0
Answer by pjalgeb(9)   (Show Source): You can put this solution on YOUR website!
Determinant = (96+0+96) - (96+96+0)
Determinant = 0

Since D = 0 then this system cannot be solved using Determinants.


RELATED QUESTIONS

please help me with this problem. what is the value of the determinant. [3 6 8] [2 4... (answered by stanbon)
what is the value of the determinant? 3 6 8 2 4 0 (answered by jim_thompson5910)
what is the value of the determinant? |3 6 8| |2 4 0| |3 6... (answered by Fombitz)
What is the value of the determinant |4 6 8| |2 4 0| |4 6... (answered by Edwin McCravy)
find the determinant of (3x3)matrice 5 -2 1 0 6 -4 (answered by Fombitz)
What is the value of the determinant? |3 6 8| |2 4 0| |3 6 8| I have absolutely... (answered by Alan3354,MathLover1)
what is the determinant of 4th order..? |1 2 3 4| |5 6 7 8| |1 2 3... (answered by Fombitz)
calculate the cofactor of the element 9 of this determinant 1 2 3 4 6 7 8 9 -1 -2 -3... (answered by mathie123)
what is the determinant of 4th order? |1 2 3 4| |5 6 7 8| |1 2 3 4| |5 6 7... (answered by Fombitz)