{"action":"created","issue":{"url":"https://api.github.com/repos/sympy/sympy/issues/10160","labels_url":"https://api.github.com/repos/sympy/sympy/issues/10160/labels{/name}","comments_url":"https://api.github.com/repos/sympy/sympy/issues/10160/comments","events_url":"https://api.github.com/repos/sympy/sympy/issues/10160/events","html_url":"https://github.com/sympy/sympy/issues/10160","id":117905753,"number":10160,"title":"System of Equations","user":{"login":"Nedaaaa","id":13317190,"avatar_url":"https://avatars.githubusercontent.com/u/13317190?v=3","gravatar_id":"","url":"https://api.github.com/users/Nedaaaa","html_url":"https://github.com/Nedaaaa","followers_url":"https://api.github.com/users/Nedaaaa/followers","following_url":"https://api.github.com/users/Nedaaaa/following{/other_user}","gists_url":"https://api.github.com/users/Nedaaaa/gists{/gist_id}","starred_url":"https://api.github.com/users/Nedaaaa/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/Nedaaaa/subscriptions","organizations_url":"https://api.github.com/users/Nedaaaa/orgs","repos_url":"https://api.github.com/users/Nedaaaa/repos","events_url":"https://api.github.com/users/Nedaaaa/events{/privacy}","received_events_url":"https://api.github.com/users/Nedaaaa/received_events","type":"User","site_admin":false},"labels":[],"state":"open","locked":false,"assignee":null,"milestone":null,"comments":4,"created_at":"2015-11-19T20:55:16Z","updated_at":"2015-11-20T16:49:55Z","closed_at":null,"body":"I am trying to solve a system of linear equations which in matrix notation it is like below:\r\nK -  w * M = 0\r\nwhere K and M are known square matrices and I am trying to find the values for w.\r\nCan I solve this matrix equation with SymPy??"},"comment":{"url":"https://api.github.com/repos/sympy/sympy/issues/comments/158457238","html_url":"https://github.com/sympy/sympy/issues/10160#issuecomment-158457238","issue_url":"https://api.github.com/repos/sympy/sympy/issues/10160","id":158457238,"user":{"login":"jksuom","id":6929119,"avatar_url":"https://avatars.githubusercontent.com/u/6929119?v=3","gravatar_id":"","url":"https://api.github.com/users/jksuom","html_url":"https://github.com/jksuom","followers_url":"https://api.github.com/users/jksuom/followers","following_url":"https://api.github.com/users/jksuom/following{/other_user}","gists_url":"https://api.github.com/users/jksuom/gists{/gist_id}","starred_url":"https://api.github.com/users/jksuom/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/jksuom/subscriptions","organizations_url":"https://api.github.com/users/jksuom/orgs","repos_url":"https://api.github.com/users/jksuom/repos","events_url":"https://api.github.com/users/jksuom/events{/privacy}","received_events_url":"https://api.github.com/users/jksuom/received_events","type":"User","site_admin":false},"created_at":"2015-11-20T16:49:55Z","updated_at":"2015-11-20T16:49:55Z","body":"If ``w`` is to be a scalar, its possible values are the eigenvalues of ``K*(M**-1)``. Those are the roots of the characteristic polynomial and obtained from ``(K*M**-1).eigenvals()``."}}