B ˜‘[8ã@s|ddlmZmZddlmZmZmZmZddlm Z Gdd„deƒZ dd„Z dd l m Z mZdd lmZd d „Zeed<d S)é)Úprint_functionÚdivision)ÚBasicÚExprÚSÚsympifyé)Ú ShapeErrorc@s.eZdZdZdd„Zedd„ƒZd dd„Zd S) Ú DeterminantaMatrix Determinant Represents the determinant of a matrix expression. >>> from sympy import MatrixSymbol, Determinant, eye >>> A = MatrixSymbol('A', 3, 3) >>> Determinant(A) Determinant(A) >>> Determinant(eye(3)).doit() 1 cCs8t|ƒ}|jstdt|ƒƒ‚|js,tdƒ‚t ||¡S)Nz&Input to Determinant, %s, not a matrixzDet of a non-square matrix)rZ is_MatrixÚ TypeErrorÚstrZ is_squarer rÚ__new__)ÚclsZmat©rúElib/python3.7/site-packages/sympy/matrices/expressions/determinant.pyr s zDeterminant.__new__cCs |jdS)Nr)Úargs)ÚselfrrrÚargszDeterminant.argFc Cs(y |j ¡Sttfk r"|SXdS)N)rZ_eval_determinantÚAttributeErrorÚNotImplementedError)rÚexpandrrrÚdoit#s zDeterminant.doitN)F)Ú__name__Ú __module__Ú __qualname__Ú__doc__r Úpropertyrrrrrrr s  r cCs t|ƒ ¡S)z« Matrix Determinant >>> from sympy import MatrixSymbol, det, eye >>> A = MatrixSymbol('A', 3, 3) >>> det(A) Determinant(A) >>> det(eye(3)) 1 )r r)ÚmatexprrrrÚdet)s r)ÚaskÚQ)Ú handlers_dictcCsLtt |j¡|ƒrtjStt |j¡|ƒr0tjStt |j¡|ƒrHtjS|S)zÜ >>> from sympy import MatrixSymbol, Q, assuming, refine, det >>> X = MatrixSymbol('X', 2, 2) >>> det(X) Determinant(X) >>> with assuming(Q.orthogonal(X)): ... print(refine(det(X))) 1 ) rr Z orthogonalrrZOneZsingularZZeroZunit_triangular)ÚexprZ assumptionsrrrÚrefine_Determinant<s r#N)Z __future__rrZsympyrrrrrr r rZsympy.assumptions.askrr Zsympy.assumptions.refiner!r#rrrrÚs "