SOLUTION: Matrix algebra is KILLING me! I need to know how to find the determinant for a problem like this, for example: 4 2 -3 1 -2 4 1 1

Question 476101: Matrix algebra is KILLING me!
I need to know how to find the determinant for a problem like this, for example:

4 2 -3
1 -2 4
1 1 1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
For more help, check out this solver.

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

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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.

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Answer:

So , which means that the determinant of the matrix is -27

For more help, check out this solver.
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