B ˜‘[Óã@s„ddlmZmZddlmZddlmZmZddlm Z ddl m Z Gdd„de ƒZ ddl mZmZdd lmZd d „Zeed<d S) é)Úprint_functionÚdivision)Ú_sympify)ÚSÚBasic)Ú ShapeError)ÚMatPowc@sTeZdZdZdZedƒZdd„Zedd„ƒZ edd „ƒZ d d „Z d d „Z dd„Z dS)ÚInversea  The multiplicative inverse of a matrix expression This is a symbolic object that simply stores its argument without evaluating it. To actually compute the inverse, use the ``.inverse()`` method of matrices. Examples ======== >>> from sympy import MatrixSymbol, Inverse >>> A = MatrixSymbol('A', 3, 3) >>> B = MatrixSymbol('B', 3, 3) >>> Inverse(A) A^-1 >>> A.inverse() == Inverse(A) True >>> (A*B).inverse() B^-1*A^-1 >>> Inverse(A*B) (A*B)^-1 TéÿÿÿÿcCs4t|ƒ}|jstdƒ‚|js(td|ƒ‚t ||¡S)Nzmat should be a matrixzInverse of non-square matrix %s)rZ is_MatrixÚ TypeErrorZ is_squarerrÚ__new__)ÚclsZmat©rúAlib/python3.7/site-packages/sympy/matrices/expressions/inverse.pyr %s  zInverse.__new__cCs |jdS)Nr)Úargs)ÚselfrrrÚarg-sz Inverse.argcCs|jjS)N)rÚshape)rrrrr1sz Inverse.shapecCs|jS)N)r)rrrrÚ _eval_inverse5szInverse._eval_inversecCsddlm}d||jƒS)Nr)Údeté)Z&sympy.matrices.expressions.determinantrr)rrrrrÚ_eval_determinant8s zInverse._eval_determinantcKs,| dd¡r|jjf|Ž ¡S|j ¡SdS)NZdeepT)ÚgetrÚdoitZinverse)rZhintsrrrr<s z Inverse.doitN)Ú__name__Ú __module__Ú __qualname__Ú__doc__Z is_InverserZexpr Úpropertyrrrrrrrrrr s  r )ÚaskÚQ)Ú handlers_dictcCsTtt |¡|ƒr|jjStt |¡|ƒr2|j ¡Stt |¡|ƒrPtd|jƒ‚|S)zÉ >>> from sympy import MatrixSymbol, Q, assuming, refine >>> X = MatrixSymbol('X', 2, 2) >>> X.I X^-1 >>> with assuming(Q.orthogonal(X)): ... print(refine(X.I)) X.T zInverse of singular matrix %s) rr Z orthogonalrÚTZunitaryÚ conjugateZsingularÚ ValueError)ÚexprZ assumptionsrrrÚrefine_InverseGs  r&N)Z __future__rrZsympy.core.sympifyrZ sympy.corerrZ"sympy.matrices.expressions.matexprrZ!sympy.matrices.expressions.matpowrr Zsympy.assumptions.askrr Zsympy.assumptions.refiner!r&rrrrÚs   9