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# determinant (help)! watch

1. How would i find the determinant of this? and then express it as a product of 4 nonconstant polynomails in x,y and z.
I did the rule of sarrus thing, and then what next?
2. It might be easier to use elementary row operations first to simplify calculations later on.
3. (Original post by rpan161)
I did the rule of sarrus thing, and then what next?
write out what you've done so far
4. Using the serrus rule, i got:

5. anyone?
6. (Original post by rpan161)
Using the serrus rule, i got:

Typo? Shouldn't the last term in the first bracket be instead of ?
7. (Original post by nuodai)
It might be easier to use elementary row operations first to simplify calculations later on.
Column operations look like they'd be more fruitful.
8. Erm, so how would I go about doing it?
9. Try taking column 3 from both columns 1 and 2. You'll see some factors appear.

Edit: Do you have the answer for this? I worked through as well as I could and came to:
-(xy + zx + yz)(z-x)(y-z)(x-y)
10. Are you still at a loss as to what to do?
11. thanks, I think i've got it now. much appreciated!

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Updated: January 24, 2010
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