wgJ dZddlmZmZddlmZddlmZmZm Z m Z m Z m Z m Z mZmZmZmZmZmZmZmZmZmZmZmZmZmZddlmZddlmZmZeZ e Z!ddl"m#Z#ddl$m%Z%dd l&m'Z'm(Z(e'Z)e#Z*dd l+m,Z,m-Z-m.Z.m/Z/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8m9Z9m:Z:m;Z;mZ>m?Z?m@Z@mAZAmBZBmCZCmDZDmEZEmFZFmGZGmHZHmIZImJZJmKZKmLZLmMZMmNZNmOZOmPZPdd lQmRZRgd ZSy )zwA module that handles matrices. Includes functions for fast creating matrices like zero, one/eye, random matrix, etc. ) ShapeErrorNonSquareMatrixError) MatrixKind) GramSchmidt casoratiandiageyehessian jordan_cell list2numpy matrix2numpymatrix_multiply_elementwiseones randMatrix rot_axis1 rot_axis2 rot_axis3 rot_ccw_axis1 rot_ccw_axis2 rot_ccw_axis3 rot_givenssymarray wronskianzeros)MutableDenseMatrix)DeferredVector MatrixBase)MutableSparseMatrix)banded)ImmutableDenseMatrixImmutableSparseMatrix)% MatrixSliceBlockDiagMatrix BlockMatrixFunctionMatrixIdentityInverseMatAddMatMulMatPow MatrixExpr MatrixSymbolTrace Transpose ZeroMatrix OneMatrixblockcutblock_collapsematrix_symbolsAdjointhadamard_productHadamardProduct HadamardPower Determinantdetdiagonalize_vector DiagMatrixDiagonalMatrix DiagonalOftrace DotProductkronecker_productKroneckerProductPermutationMatrix MatrixPermute MatrixSet Permanentper) dotprodsimp)Irrrrrrr r r r r rrrrrrrrrrrrrrrrMatrix MutableMatrixrrr r!ImmutableMatrix SparseMatrixr"r#r$r%r&r'r(r)r*r+r,r-r.r/r0r1r2r3r4r5r6r7r8r9r:r;r<r=r>r?r@rArBrCrDrErFrGN)T__doc__ exceptionsrrkindrdenserrrr r r r r rrrrrrrrrrrrrr matrixbaserrrIrHsparser sparsetoolsr immutabler r!rJrK expressionsr"r#r$r%r&r'r(r)r*r+r,r-r.r/r0r1r2r3r4r5r6r7r8r9r:r;r<r=r>r?r@rArBrCrDrErF utilitiesrG__all__\/home/mcse/projects/flask/flask-venv/lib/python3.12/site-packages/sympy/matrices/__init__.pyrZs 9      &2" 'B&" AAAAAAAAAA#" rX