This program implements the Gaussian Elimination algorithm, a fundamental method in linear algebra for solving systems of linear equations, determining matrix inverses, and calculating determinants.
ORIGINAL MATRIX: [ [1.0000, 1.0000, 3.0000] [2.0000, 3.0000, 5.0000] ] RREF: [ [1.0000, 0.0000, 4.0000] [0.0000, 1.0000, -1.0000] ] RESULT: UNIQUE SOLUTION SOLUTION ...
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Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...
1 Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, RJ, Brazil 2 Petróleo Brasileiro S.A., Centro de Pesquisas Leopoldo Miguez de Mello, Rio de Janeiro, Brazil Recent advancements in quantum ...