Cramer's Rule: A Simplified Explanation

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rock.freak667
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Is there any simpler proof for Cramer's rule because I've been trying to understand it from this site and some of it I just don't get

http://planetmath.org/encyclopedia/ProofOfCramersRule.html
 
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http://www.math.psu.edu/levi/231H/cramer.pdf
 
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