Gradient of the log-likelihood wrt Z.
| 1 2 | normal_llike_grad(Z, Y, alpha, sig_diag, tau_seq, scale_val, pi_vals,
  lambda = NULL)
 | 
| Z | A k by 1 matrix of numerics. The hidden confounders. | 
| Y | A matrix of dimension  | 
| alpha | A matrix. This is of dimension  | 
| sig_diag | A vector of length  | 
| tau_seq | A vector of length  | 
| scale_val | A positive numeric. The variance scaling parameter. | 
| pi_vals | A vector of numerics that sums to 1. The mixing proportions. | 
| lambda | Not used here, but needed for optim. | 
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