The determinant of the smoothed correlation was zero.
This means the objective function is not defined.
Chi square is based upon observed residuals.
The determinant of the smoothed correlation was zero.
This means the objective function is not defined for the null model either.
The Chi square is thus based upon observed correlations.
In factor.stats, the correlation matrix is singular, an approximation is used
Warning messages:
1: In cor.smooth(r) : Matrix was not positive definite, smoothing was done
2: In fa.stats(r = r, f = f, phi = phi, n.obs = n.obs, np.obs = np.obs,  :
  In factor.stats, the correlation matrix is singular, and we could not calculate the beta weights for factor score estimates
3: In psych::principal(transposed_matrix, nfactors = 3) :
  The matrix is not positive semi-definite, scores found from Structure loadings

original_matrix = data.frame(replicate(6,sample(250:300,2404,rep=TRUE)))
transposed_matrix = t(original_matrix)
pca_temper = psych::principal(transposed_matrix, nfactors = 3)