<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def calculate_A_b(eqs, unfolding, verbose=0):
 u"""Calculate the equations in matrix form. ⎡ -γ₂₁ im(Ω) -re(Ω)⎤ ⎢ ⎥ ⎢ -γ₂₁ ⎥ ⎢-im(Ω) ───── -δ ⎥ ⎢ 2 ⎥ ⎢ ⎥ ⎢ -γ₂₁ ⎥ ⎢re(Ω) δ ───── ⎥ ⎣ 2 ⎦ ⎡ 0 ⎤ ⎢ ⎥ ⎢-im(Ω) ⎥ ⎢───────⎥ ⎢ 2 ⎥ ⎢ ⎥ ⎢ re(Ω) ⎥ ⎢ ───── ⎥ ⎣ 2 ⎦ """

    Ne = unfolding.Ne
    Nrho = unfolding.Nrho
    lower_triangular = unfolding.lower_triangular
    rho = define_density_matrix(Ne, explicitly_hermitian=lower_triangular,
                                normalized=unfolding.normalized)

    rho_vect = unfolding(rho)
    if unfolding.real:
        ss_comp = {rho[i, j]: re(rho[i, j])+I*im(rho[i, j])
                   for j in range(Ne) for i in range(Ne)}

    A = []; b = []
    for mu in range(Nrho):
        s, i, j = unfolding.IJ(mu)
        if verbose > 0: print mu
        eq = part_symbolic(eqs[i, j].subs(ss_comp), s)
        eq_new = 0
        row = []
        for nu in range(Nrho):
            variable = rho_vect[nu]
            coefficient = Derivative(eq, variable).doit()
            row += [coefficient]
            eq_new += coefficient*variable

        b += [-(eq-eq_new).expand()]

        A += [row]
    A = Matrix(A); b = Matrix(b)
    return A, b