#Cramer's rule
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it is easy to use, in the sense that it is an explicit method of calculating solutions for systems.
However, it is VERY expensive computationally (as in, requires a huge amount of operations), so by hand it becomes impractical for systems of very modest size. 4x4 is already extremely annoying to do by hand, and 3x3 is about 4x the amount of operations vs gauss elimination
cramer also scales faster in number of operations
for comparison, the amount of operations with cramer scales with size^4, vs gauss size^3
$x_j=\frac{det(A_j)}{det(A)}$
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