{"id":19145753,"url":"https://github.com/xremix/gaussian-elimination-method","last_synced_at":"2026-06-25T10:31:02.559Z","repository":{"id":87477694,"uuid":"90537626","full_name":"xremix/Gaussian-Elimination-Method","owner":"xremix","description":"Online Calculator to calculate linear systems (matrixes) by using the Gaussian Elimination Method, based on JavaScript and HTML","archived":false,"fork":false,"pushed_at":"2017-11-23T08:37:04.000Z","size":15,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":3,"default_branch":"master","last_synced_at":"2025-02-22T19:46:00.301Z","etag":null,"topics":["gaussian","gaussion-elimination","linear-algebra","linear-systems","matrix","matrix-calculations","online","triangle-format","vector","website"],"latest_commit_sha":null,"homepage":"https://rawgit.com/xremix/Gaussian-Elimination-Method/master/gaussian-elimination.html","language":"JavaScript","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/xremix.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2017-05-07T14:16:03.000Z","updated_at":"2017-06-29T07:17:09.000Z","dependencies_parsed_at":null,"dependency_job_id":"3793e36b-1a89-4b13-8c2c-df3af791cfe0","html_url":"https://github.com/xremix/Gaussian-Elimination-Method","commit_stats":null,"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/xremix/Gaussian-Elimination-Method","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/xremix%2FGaussian-Elimination-Method","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/xremix%2FGaussian-Elimination-Method/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/xremix%2FGaussian-Elimination-Method/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/xremix%2FGaussian-Elimination-Method/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/xremix","download_url":"https://codeload.github.com/xremix/Gaussian-Elimination-Method/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/xremix%2FGaussian-Elimination-Method/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":34771660,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-05-26T15:22:16.424Z","status":"online","status_checked_at":"2026-06-25T02:00:05.521Z","response_time":101,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["gaussian","gaussion-elimination","linear-algebra","linear-systems","matrix","matrix-calculations","online","triangle-format","vector","website"],"created_at":"2024-11-09T07:42:15.291Z","updated_at":"2026-06-25T10:31:02.536Z","avatar_url":"https://github.com/xremix.png","language":"JavaScript","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Gaussian-Elimination-Method\nOnline Calculator for Matrixes of linear systems. A website to calculate the result of a linear system based on the Gaussian Elimination Algorithm.\n\nTry the Tool here:\n[Online Tool](https://rawgit.com/xremix/Gaussian-Elimination-Method/master/gaussian-elimination.html)\n\n## Usage\nEnter your Matrix space seperated into the textfield, including the result vector.\n\nYour Matrix must have the form:\n`Ax=b`\nWhile `A` must be a `n * n` Matrix and `b` the result vector. \nThe input must have `n+1` columns and `n` rows.\n\nIf you want to calculate a matrix like this:\n```\n1a + 2b + 3c = 2\n1a + 1b + 1c = 2\n3a + 3b + 1c = 0\n```\n\nYour input into the tool would be:\n```\n1 2 3 2\n1 1 1 2\n3 3 1 0\n```\n\nThe result of the tool then would be:\n```\na = 5\nb = -6\nc = 3\n```\n\n## Algorithm\nThe algorithm is always substracting two rows from each other like in the following sample:\n```\n3 9 3 | 8 \n2 1 4 | 8\n\n(3 * II) - (2 * I)\n\nWhich gives the result\n3 9 3 = 8\n0 -15 6 = 8\n```\n\n![Analytics](https://ga-beacon.appspot.com/UA-40522413-9/Gaussian-Elimination-Method/readme?pixel)\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fxremix%2Fgaussian-elimination-method","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fxremix%2Fgaussian-elimination-method","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fxremix%2Fgaussian-elimination-method/lists"}