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slogdet(x[, out1, out2])

slogdet on the last two dimensions and broadcast on the rest. 
Results in two arrays, one with sign and the other with log of the determinants. 
    "(m,m)->(),()" 

src/n/u/numpy-1.8.1/numpy/linalg/linalg.py   numpy(Download)
    real_t = _realType(result_t)
    signature = 'D->Dd' if isComplexType(t) else 'd->dd'
    sign, logdet = _umath_linalg.slogdet(a, signature=signature)
    return sign.astype(result_t), logdet.astype(real_t)