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numpy.tril

numpy.tril(m, k=0)[source]

Lower triangle of an array.

Return a copy of an array with elements above the k-th diagonal zeroed.

Parameters:
m : array_like, shape (M, N)

Input array.

k : int, optional

Diagonal above which to zero elements. k = 0 (the default) is the main diagonal, k < 0 is below it and k > 0 is above.

Returns:
tril : ndarray, shape (M, N)

Lower triangle of m, of same shape and data-type as m.

See also

triu
same thing, only for the upper triangle

Examples

>>> np.tril([[1,2,3],[4,5,6],[7,8,9],[10,11,12]], -1)
array([[ 0,  0,  0],
       [ 4,  0,  0],
       [ 7,  8,  0],
       [10, 11, 12]])