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34 lines
1.0 KiB
34 lines
1.0 KiB
from sympy.core import symbols, S
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from sympy.functions import adjoint, conjugate, transpose
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from sympy.matrices.expressions import MatrixSymbol, Adjoint, trace, Transpose
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from sympy.matrices import eye, Matrix
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n, m, l, k, p = symbols('n m l k p', integer=True)
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A = MatrixSymbol('A', n, m)
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B = MatrixSymbol('B', m, l)
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C = MatrixSymbol('C', n, n)
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def test_adjoint():
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Sq = MatrixSymbol('Sq', n, n)
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assert Adjoint(A).shape == (m, n)
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assert Adjoint(A*B).shape == (l, n)
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assert adjoint(Adjoint(A)) == A
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assert isinstance(Adjoint(Adjoint(A)), Adjoint)
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assert conjugate(Adjoint(A)) == Transpose(A)
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assert transpose(Adjoint(A)) == Adjoint(Transpose(A))
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assert Adjoint(eye(3)).doit() == eye(3)
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assert Adjoint(S(5)).doit() == S(5)
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assert Adjoint(Matrix([[1, 2], [3, 4]])).doit() == Matrix([[1, 3], [2, 4]])
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assert adjoint(trace(Sq)) == conjugate(trace(Sq))
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assert trace(adjoint(Sq)) == conjugate(trace(Sq))
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assert Adjoint(Sq)[0, 1] == conjugate(Sq[1, 0])
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assert Adjoint(A*B).doit() == Adjoint(B) * Adjoint(A)
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