https://www.sulprobil.de/tags/exact-rational-solutions-of-linear-equations/ Recent content in Exact Rational Solutions of Linear Equations on Sulprobil Hugo en Wed, 20 May 2026 04:32:00 +0100 https://www.sulprobil.de/linear_equations_en/ Wed, 20 May 2026 04:32:00 +0100 https://www.sulprobil.de/linear_equations_en/ <h2 id="abstract">Abstract</h2> <p>Linear equations of the form A * x = b with the non-singular quadratic matrix A and the result vector b have a unique solution because the determinant of A is not zero. If the coefficients of A and of b are rational numbers then the solution is also rational.</p> <p><img src="https://www.sulprobil.de/Linear_Equations_with_rational_coefficients.png" alt="Linear_Equations_with_rational_coefficients"></p> <h2 id="see-also">See also</h2> <p><a href="https://www.sulprobil.de/sbnrn_en/" title="sbNRN">sbNRN</a></p> <h2 id="literature">Literature</h2> <p>(External Link!) <a href="http://www.sciencedirect.com/science/article/pii/0771050X7890027X/pdf?md5=b667c7b5a79db140f4b1e10319c6ba89&amp;pid=1-s2.0-0771050X7890027X-main.pdf">Oliver Aberth, A method for exact computation with rational numbers, JCAM, vol 4, no. 4, 1978</a></p>