SOLUTION: How to find determinant of 3x3 matrix

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Question 894175: How to find determinant of 3x3 matrix
Found 2 solutions by richwmiller, Edwin McCravy:
Answer by richwmiller(17219)   (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

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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 94

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Watch this youtube video:
https://www.youtube.com/watch?v=21LWuY8i6Hw

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