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5
votes
1answer
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2x2 Matrices and Differences of Fractions

Consider the difference of two arbitrary fractions, $\frac{a}{b}$ and $\frac{c}{d}$. $$\frac{a}{b}-\frac{c}{d}=\frac{ad-bc}{bd}$$ The numerator is the determinant of the 2x2 matrix $$ \left( ...
4
votes
7answers
771 views

Best way to exactly solve a linear system (300x300) with integer coefficients

I want to solve system of linear equations of size 300x300 (300 variables & 300 equations) exactly (not with floating point, aka dgesl, but with fractions in ...