gU lddlmZddlmZGddeZdZddlmZmZddl m Z dZ e e d<d S) )Basic) MatrixExprczeZdZdZdZdZedZedZddZ dZ d Z d Z d Z d Zd ZdZdS) Transposea1 The transpose of a matrix expression. This is a symbolic object that simply stores its argument without evaluating it. To actually compute the transpose, use the ``transpose()`` function, or the ``.T`` attribute of matrices. Examples ======== >>> from sympy import MatrixSymbol, Transpose, transpose >>> A = MatrixSymbol('A', 3, 5) >>> B = MatrixSymbol('B', 5, 3) >>> Transpose(A) A.T >>> A.T == transpose(A) == Transpose(A) True >>> Transpose(A*B) (A*B).T >>> transpose(A*B) B.T*A.T Tc |j}|ddr"t|tr |jdi|}t |dd}||}||nt |St |S)NdeepT_eval_transpose)argget isinstancerdoitgetattrr)selfhintsr r results `/var/www/html/ai-engine/env/lib/python3.11/site-packages/sympy/matrices/expressions/transpose.pyrzTranspose.doitsh 99VT " " $z#u'='= $#(##U##C!#'8$??  &$_&&F#/66Ys^^ CS>> !c|jdS)Nr)argsrs rr z Transpose.arg*sy|rc,|jjdddS)N)r shapers rrzTranspose.shape.sx~ddd##rFc .|jj||fd|i|S)Nexpand)r _entry)rijrkwargss rrzTranspose._entry2s%txq!==F=f===rc4|jSN)r conjugaters r _eval_adjointzTranspose._eval_adjoint5sx!!###rc4|jSr")r adjointrs r_eval_conjugatezTranspose._eval_conjugate8sx!!!rc|jSr")r rs rr zTranspose._eval_transpose;s xrc.ddlm}||jS)N)Trace)tracer+r )rr+s r _eval_tracezTranspose._eval_trace>s$      uTXrc.ddlm}||jS)Nr)det)&sympy.matrices.expressions.determinantr/r )rr/s r_eval_determinantzTranspose._eval_determinantBs$>>>>>>s48}}rc6|j|Sr")r _eval_derivative)rxs rr3zTranspose._eval_derivativeFsx((+++rcZ|jd|}d|DS)Nrc6g|]}|Sr ) transpose).0rs r z;Transpose._eval_derivative_matrix_lines..Ls ---! ---r)r_eval_derivative_matrix_lines)rr4liness rr:z'Transpose._eval_derivative_matrix_linesJs/ ! ::1==--u----rN)F)__name__ __module__ __qualname____doc__ is_Transposerpropertyr rrr$r'r r-r1r3r:r rrrrs.L " " "X$$X$>>>>$$$""",,,.....rrcHt|dS)zMatrix transposeF)r)rr)exprs rr7r7Os T??  U  + ++r)askQ) handlers_dictcXttj||r|jS|S)z >>> from sympy import MatrixSymbol, Q, assuming, refine >>> X = MatrixSymbol('X', 2, 2) >>> X.T X.T >>> with assuming(Q.symmetric(X)): ... print(refine(X.T)) X )rDrE symmetricr )rC assumptionss rrefine_TransposerJXs, 1;t  k**x KrN) sympy.core.basicr"sympy.matrices.expressions.matexprrrr7sympy.assumptions.askrDrEsympy.assumptions.refinerFrJr rrrOs""""""999999G.G.G.G.G. G.G.G.T,,, )(((((((222222   . kr