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"""A module that handles matrices.
Includes functions for fast creating matrices like zero, one/eye, random
matrix, etc.
"""
from .common import ShapeError, NonSquareMatrixError, MatrixKind
from .dense import (
GramSchmidt, casoratian, diag, eye, hessian, jordan_cell,
list2numpy, matrix2numpy, matrix_multiply_elementwise, ones,
randMatrix, rot_axis1, rot_axis2, rot_axis3, rot_ccw_axis1,
rot_ccw_axis2, rot_ccw_axis3, rot_givens,
symarray, wronskian, zeros)
from .dense import MutableDenseMatrix
from .matrices import DeferredVector, MatrixBase
MutableMatrix = MutableDenseMatrix
Matrix = MutableMatrix
from .sparse import MutableSparseMatrix
from .sparsetools import banded
from .immutable import ImmutableDenseMatrix, ImmutableSparseMatrix
ImmutableMatrix = ImmutableDenseMatrix
SparseMatrix = MutableSparseMatrix
from .expressions import (
MatrixSlice, BlockDiagMatrix, BlockMatrix, FunctionMatrix, Identity,
Inverse, MatAdd, MatMul, MatPow, MatrixExpr, MatrixSymbol, Trace,
Transpose, ZeroMatrix, OneMatrix, blockcut, block_collapse, matrix_symbols, Adjoint,
hadamard_product, HadamardProduct, HadamardPower, Determinant, det,
diagonalize_vector, DiagMatrix, DiagonalMatrix, DiagonalOf, trace,
DotProduct, kronecker_product, KroneckerProduct,
PermutationMatrix, MatrixPermute, MatrixSet, Permanent, per)
from .utilities import dotprodsimp
__all__ = [
'ShapeError', 'NonSquareMatrixError', 'MatrixKind',
'GramSchmidt', 'casoratian', 'diag', 'eye', 'hessian', 'jordan_cell',
'list2numpy', 'matrix2numpy', 'matrix_multiply_elementwise', 'ones',
'randMatrix', 'rot_axis1', 'rot_axis2', 'rot_axis3', 'symarray',
'wronskian', 'zeros', 'rot_ccw_axis1', 'rot_ccw_axis2', 'rot_ccw_axis3',
'rot_givens',
'MutableDenseMatrix',
'DeferredVector', 'MatrixBase',
'Matrix', 'MutableMatrix',
'MutableSparseMatrix',
'banded',
'ImmutableDenseMatrix', 'ImmutableSparseMatrix',
'ImmutableMatrix', 'SparseMatrix',
'MatrixSlice', 'BlockDiagMatrix', 'BlockMatrix', 'FunctionMatrix',
'Identity', 'Inverse', 'MatAdd', 'MatMul', 'MatPow', 'MatrixExpr',
'MatrixSymbol', 'Trace', 'Transpose', 'ZeroMatrix', 'OneMatrix',
'blockcut', 'block_collapse', 'matrix_symbols', 'Adjoint',
'hadamard_product', 'HadamardProduct', 'HadamardPower', 'Determinant',
'det', 'diagonalize_vector', 'DiagMatrix', 'DiagonalMatrix',
'DiagonalOf', 'trace', 'DotProduct', 'kronecker_product',
'KroneckerProduct', 'PermutationMatrix', 'MatrixPermute', 'MatrixSet',
'Permanent', 'per',
'dotprodsimp',
]