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Cramer's Rule for
3 x 3's
works, pretty much, the same way it does for
2 x 2's
-- it's the same pattern.
Let's solve this one:



First, find the determinant of the
coefficient matrix:
(I'm just going to
crunch the determinants without
showing the work -- you should check them!)

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For a
3 x 3,
we have 3
more determinants to find: |
 |
, |
 |
, and |
 |
... Then we'll have |
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