mode : {'reduced', 'complete', 'r', 'raw', 'full', 'economic'}, optional
    If K = min(M, N), then

    'reduced'  : returns q, r with dimensions (M, K), (K, N) (default)
    'complete' : returns q, r with dimensions (M, M), (M, N)
    'r'        : returns r only with dimensions (K, N)
    'raw'      : returns h, tau with dimensions (N, M), (K,)
    'full'     : alias of 'reduced', deprecated
    'economic' : returns h from 'raw', deprecated.

    The options 'reduced', 'complete, and 'raw' are new in numpy 1.8,
    see the notes for more information. The default is 'reduced' and to
    maintain backward compatibility with earlier versions of numpy both
    it and the old default 'full' can be omitted. Note that array h
    returned in 'raw' mode is transposed for calling Fortran. The
    'economic' mode is deprecated.  The modes 'full' and 'economic' may
    be passed using only the first letter for backwards compatibility,
    but all others must be spelled out. See the Notes for more
    explanation.

mode : {'full', 'r', 'economic', 'raw'}, optional
    Determines what information is to be returned: either both Q and R
    ('full', default), only R ('r') or both Q and R but computed in
    economy-size ('economic', see Notes). The final option 'raw'
    (added in Scipy 0.11) makes the function return two matrices
    (Q, TAU) in the internal format used by LAPACK.